Coda 11, Schiit Tyr, JC5 or ???

But you don't need power to get high average levels. You only need four watts to listen at 86 dB average level(very loud as an average) at 2 meters. You need power to maintain clean sound during and after large peaks(such as not untypical 30 dB piano peaks). Suddenly your 4 watts turns into hundreds of watts.

I am a big fan of Schitt gear. I have owned the CODA CSiB, #8, and now the #16. 

There was a great series on SoudstageUltra.com about Jeff Fritz searching for his new uber reference amp. He used a CODA #11 as a stop gap while he was looking for the uber amp. After a while he was wondering why he needed another amp when the CODA #11 was so good. He eventually spent about $30k for a used Boulder amp.

The Tyr will be a better deal since they don't have the markup by selling direct. The same amp sold via the typical distributor/retailer would cost $3000 or maybe more. 

I would look at the Odyssey Audio amps.  They have both stereo and monobloc options within your price range.  I replaced a well-reviewed tube power amp with a pair of Odyssey monobloc amps and my ears said the result was stunning.  Plenty of power for peaks, plus excellent tonal qualities at both low and moderate volume levels.  These  apps brought my system to life.

Definitely look at Odyssey ... clunky website, rock-solid offerings.  I have the Kismet amp and will never part with it!