The DT770 is fine – not basshead, the COP is the same size and configuration as the 770, and both of those, large though they are, are “tighter” built so they feel less clunky than the M50. But the biggest problem for you is that the smaller headphones under $200 almost all have a steeply rolled-off treble, which is trouble for the more refined type of music. One possible exception is the Harman Soho.
One thing I suggest to prospective customers for a specific headphone, if I have that headphone on hand, is for them to suggest 2 or 3 music tracks by a particular artist and composer that I can sample on that headphone, not so much for me to suggest how it sounds, but mostly to check if that headphone has any real sonic issues with that music. For example, a headphone that’s ideal for classical and acoustic music might sound too harsh with metal and industrial goth.
If you just want to block out sound without active noise cancellation, good over-ear headphones will naturally do that to some extent. This is called noise isolation, and it simply works from the earcups forming a good seal over your ears to prevent outside noise from getting in. It's not as effective, but it's less expensive than active noise cancellation and doesn't require power.

AAC has some advantages when it comes to latency, but we recommend avoiding this if you care about audio quality. We found high levels of noise and lower than average frequency cutoffs—both unacceptable to audiophiles and younger listeners. Though the sound isn’t as bad as some may make it out to be, the shortcomings are noticeable to the human ear at normal listening volumes.
While Apple’s AirPods get a lot of attention for how well they work with other Apple products, there’s actually a more affordable option that’s just as tightly integrated: the Beats BeatsX Earphones. Apple owns the Beats brand, and it’s built the BeatsX earphones with the same W1 chip that’s in the AirPods. That means that the user experience is virtually identical – iOS makes it super easy to pair them with any iPhone or iPad. Our favorite part is they have a Fast Fuel feature, so when your battery is low, plugging them in for five minutes provides two hours of talk time. We’re also big fans of the COWIN E7 Headphones. They’re wireless, they’ve got on-board noise cancellation, and they can last up to 30 hours on a single charge. The E7’s have an impressive spec sheet for any price point, but the fact that they’re so affordable makes them an even better value. If you’re looking for affordable over-the-ear headphones that don’t make any compromises, this is the pair to get.

Dale: The examples listed here are good general rules, but one thing to keep in mind is in the mid-to-lower price tiers, open-back headphones aren’t nearly as common as the closed types. The smaller list of choices, and the more limited reviews of those items, could make getting a perfect fit more difficult. Sound stage and openness are often given as the advantage of the open-back types, but it’s just a general rule and some closed-back headphones excel at those properties. An important thing to consider is the music itself, since sound stage and perspective varies widely in different recordings.
There’s a lot of debate in the headphone world about wireless audio. Wireless standards like Bluetooth are capable of making music sound great, but because Bluetooth relies on data compression, it will never sound quite as good as a wired connection. The big question is, with the improvements in Bluetooth, can anyone tell the difference anymore between Bluetooth audio and wired audio? We’re skeptical that the difference is meaningful, so here’s our best advice: if you’re an audiophile who cares about hearing music in high fidelity, you’ll probably be better off with a set of wired headphones; if you need everything to sound great but prefer the convenience of wireless connections, go for a pair of Bluetooth headphones.
Audiophiles generally agree that if you’re passionate about music, and you have a listening space that is relatively free of outside sounds, nothing beats a really good set of open-back headphones. As far as we’re concerned, you won’t find a set of open-back headphones that manage to combine superb sound quality and a reasonable price than the Sennheiser HD6XX/HD650. To be clear, these are not exactly the same models. The HD6XX is a run of the HD650 with a lower price from Massdrop, and a few physical changes, but when it comes to their audio chops, they’re identical.
Time to invest in a new set of headphones? It’s a hugely crowded market with hundreds of models to choose from, so here’s a handy timesaver: The Sony WH-1000xM3 are the best headphones. In fact, their combination of top-notch audio quality, superb noise cancellation, and dependable wireless performance is such a strong formula, we named the WH-1000xM3 the best wireless headphones and the best noise-canceling headphones, too.

The FiiO E17 “Alpin” + AIAIAI TMA-1 or Pro700 Mk2 seem like a mix you’d recommend, but I’m concerned those cans will be uncomfortable for day-long use.  Also I don’t know if that DAC/amp is the best for my style of music/headphones.  Third, some of my techno tracks have stunning vocals, and I don’t want to miss out on those high notes while enjoying the bass.
The rule that I use is that the bigger the size of the headphone, the bigger the need for amplification. Of course factors like driver sensitivity and impedance will matter, but the general rule of thumb is, use a dedicated headphone amplifier for a full size headphone. Even a portable amplifier can be enough, depending on the type of the headphones.
The Sony noise-cancelling headphones are a tiny miracle. They’re great at blocking the outside world, so you’ll hear your music and nothing else – at a price point that’s less than $50. Wired headphones can be a tough sell for those who’ve grown accustomed to wire-free listening, but if you’re all right with a wired connection, this pair is an easy choice.

Electrostatic drivers consist of a thin, electrically charged diaphragm, typically a coated PET film membrane, suspended between two perforated metal plates (electrodes). The electrical sound signal is applied to the electrodes creating an electrical field; depending on the polarity of this field, the diaphragm is drawn towards one of the plates. Air is forced through the perforations; combined with a continuously changing electrical signal driving the membrane, a sound wave is generated. Electrostatic headphones are usually more expensive than moving-coil ones, and are comparatively uncommon. In addition, a special amplifier is required to amplify the signal to deflect the membrane, which often requires electrical potentials in the range of 100 to 1000 volts.

Over-ear and on-ear headphones effectively block out outside sounds, allowing you to hear your music or whatever else you're listening to crisply and without distraction. Over-ear headphones are sometimes known as full-size headphones because they completely envelop the wearer's ear. This results in what's known as passive noise reduction, which makes these some of the most-preferred headphones available. The only drawback is that your ears and the skin around your ears can get warm and sweaty. These are usually the heaviest type of headphones.