Audio research has some SS amps that come up in that price range that meet the criteria as I recall.
I strongly considered these when looking in a similar price range because AR is primarily known for its tube gear and their SS amps are seemingly designed to match well with higher impedance tube pre-amps and were generally well received.
If I had not decided to splurge as I did on the BCs, one of the ARC SS amps was probably next in line for me especially in that I already owned an ARC tube pre-amp.
I strongly considered these when looking in a similar price range because AR is primarily known for its tube gear and their SS amps are seemingly designed to match well with higher impedance tube pre-amps and were generally well received.
If I had not decided to splurge as I did on the BCs, one of the ARC SS amps was probably next in line for me especially in that I already owned an ARC tube pre-amp.