I have recently bought Beyerdynamic DT 250 - it was hugely discounted down to your price range. (Not sure, maybe it is no longer sold... it is old model):
I find it extremely good for the price I paid: good noise isolation, clear sound, no distortion at peak volumes (like in orchestra tutti), it is a bit tight on the head to wear it for several hours, but quite comfortable otherwise.
I also have a pair of Technics RP-F800 - it is older model, definitely not sold now. These are smaller and not so "professional". It cost about 80$ when it was new - but the sound quality is amazingly good for this price.
Now I somtimes prefer them, in fact - but maybe it's because I'm so used to thier sound. They emphasize bass a bit in a nice way.
In comparison, the DT250 bass sounds "thinner" but probably it is actually more "true" bass, and Technics is over-emphasizing it.
DT250 have very positive reviews on the internet.
My brother is a professional musician and hates Beyerdynamics but he does love his Grados. I have a pair of DT250s (which bought cheap and find OK but nothing special) and use Sennheiser PX200s for travel - as does my brother and best friend. Good luck!