I agree with the recommendations for Audeze for the type of sound you described.
I'd throw Hifiman into the mix also. Similar sound signature, a little more neutral and depending on which model, can be lighter than many of the Audeze models.
It's important to take comfort into your purchase decision. I love the sound of my LCD-4, but they are heavy buggers!
The Sony MDR-Z1R has great bass and is in your budget. They are very comfortable. They compare favorably to my LCD-4.