Advice Needed deciding new Phones

I’m going to have to amend my above comments, as the T&A unit that the OP will be using costs multiple thousands of dollars.  It can probably drive anything…

In that case, the $750 budget would be quite reasonable.  I still like Beyerdynamic for the OP’s set up as they have an open detailed house sound that is superior to those old Sonys.  Just move up the line to the T1 model.  It’s open back, which is generally superior to closed back.  It might disturb others in the room at higher volumes though. 
 

Slightly over the budget, but worth it.

My Dac 200 offers no specs on the headphone aspect other that the jack is a 4.4 mm Balanced Pentacon.   Thanks for all of the great suggestions.  I re foamed the Sony’s so I will have a point of comparison to the others.   

Given your tastes and other equipment I’d highly recommend the Hifiman Arya v3 Stealths. I have them and they retail for $1700 but there’s a nice used pair on USAM for $950 you might be able to negotiate on since he’s the second owner. They are very transparent and open sounding and give me a lot of the satisfaction of the large 3D soundstage and detail of my big rig — lots of outside the head imaging in other words — and they’re relatively not that hard to drive so you might be fine with your nice DAC in that regard, but do check just in case.  They are open-backed so sound will leak out and other people will hear, if that’s a concern. Read the reviews (I totally agree with the review on soundnews.net BTW), but I wouldn’t wait on these as they’ll surely disappear fast. I can also help on cable recommendations if desired. Hope this helps, and best of luck.
Regard:

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Try some of the Meze 'phones, Grado 'phones and HiFi Man 'phones.