Mute or Balance features are common on preamps costing $3000+
my preamp has neither, but I can't imagine trading it since I get everything I wanted from all the tube preamps I tried, plus stone dead quietness, and no tubes to mess with. It is a Tom Evans Vibe & Pulse.
If you need the tubes, the best I have owned in my system are a fully decked out AtmaSphere MP3 and a VTL 5.5, both of which I thought bettered the highly rated Calypso and SF Line 3SE. I would also like to try Joule-Electra. All of these range from the top of your budget to about 50% higher. Good luck.