Audio Technica ATH-A900s, they are only 40-Ohms, so they work well with any source.
Not a heavy bass headphone, but if you wearing headphones for long periods,
I'm assuming you do not want to fatigue your ears with lots of heavy bass.
And they are selling for half your budget.
Lots of reviews for this headphone on Head-Fi.
You can get a low cost ($50) single tube headphone amplifier, off eBay, ships from China.
Tube amplifiers add some "warmth" to...