I am not familiar with your Bryston (or much of the rest of your rig for that matter), so I make these suggestions with caveat...
Might be worth looking at a used Zesto. I have several clients that have these and love them. The one I’ve heard was excellent. There was one I was considering on US Audiomart not long ago within your budget, I think. If I remember correctly it had balanced in’s and out’s.
Might also be worth looking at a VAC Standard Preamp. There was one with a phono stage on Reverb for $2K. Not balanced I don’t think but a very nice pre-amp for the price. You can sometimes see the VAC Renaissance pre-amps pop up that are still relatively close to your budget.
Good luck.

