I LOVE this piece of music. Back when I was addicted to the symphonic format and thought I could never appreciate chamber, someone suggested I listen to the Brahms Piano Quintet. They were right--it's very much a symphonic style piece, just for smaller forces. And when the recording is good...WOW!
IIRC, there were actually two different recordings of Pollini with the Italian--one on Philips and a later one on DGG. I think. Could be the other way around. Damn. My memory may be wonky on which is which...but back in the day, I listened to both and preferred the earlier of the two performances, both for quality of ensemble and phrasing and oddly enough for sonics. The later one seemed more like a run-through and the sound was a tad shrill. Just FWIW. (I still do possess my preferred version, but will have to wait until I'm home to post which label it's on. Sorry.)
I've heard the Eschenbach/Amadeus, too--but a long time ago. My memory is that the balance is way on the pianist's side, which isn't exactly a deal breaker, but good to know if you're looking for a more balanced presentation. Eschenbach was certainly in a power mode for this.
Another rendition I love is one by Dezso Ranki and (I think) the Bartok Quartet on a '70s Hungaraton recording--this one exceptionally lively and just raw enough to make you get the idea that musicians were having one hell of a good time playing the piece.
All of these--except POSSIBLY the later of the two Pollini/Italian (don't recall for sure)--are analog, and I personally have them all on LP, but I'll assume that the transfer to digits has been successful. Certainly, all should be in the budget range pricewise.
Whatever you end up with, enjoy! It's a very exciting and satisfying piece.
Dirk