Budget would be TBC for now, but if there are any particular good products in both the mid and upper end of the headphone amp price range (assuming such price categories are easy to define here of course), I can check them out when researching.
Ah, the fun of thinking about spending someone else's budget... so let me have a crack at giving you the high-end watermark from my POV. If this doesn't give you a sticker shock, then I will be egging you from afar as you make this purcahse. If it does, we'll bring it down a notch and find out your true threshold of pain...
With that preamble behind... check out:
Ampandsound Red October
(https://ampsandsound.com/products/red-october
This is the best I've ever heard any ZMF on any amp (specifically, I demo-ed it extensively at CanJam NYC with the VC Olive LTD that was on hand, which I happen to have at home and veyr familiar with). It was such a profound experience, I still daydream every now and then how one day I explain this giant piece of hardware in our living room to my wife...