Not sure how comfortable you are with used gear but there are tons of good used tubed integrated in your price range.
https://www.usaudiomart.com/classifieds/55-tube-integrated-amplifiers/
Integrated Tube Amp approx. $2,500
I'm looking for suggestions on integrated tube amps in the $2,500 range, give or take a few hundred. My speakers are Klipsch Cornwall IVs with a Musician Pegasus II dac. I found the Black Ice Fusion F22 V.2 which looks interesting, but not a lot else in my price range. Thanks.