There was a Sony model in your budget that made a top 10 list of best headphones at a price, unfortunately, I am at work and can't remember that model.
Seems the Grado SR 60 or 80 are always in the running of good value cans but some comment not the best for long term listening.
I'm sure the price has gone back, I picked up a Hifiman Edition S for $149 on sale in July and love them. I'm not sure if they have any over the ear in your price. The bass and overall sound is tight and focused, more so than my Sennheser HD580's.