What’s the most badass $2k amp I can get?

There is an LSA Statement integrated on US Audiomart for about $1800. Tube preamp stage with a very high quality amplifier section. Get the one with the Exemplar upgrades. The preamp section can be bypassed and use just the amplifier section. A really good piece of gear. The preamp section in it is very good and it also has built in phono stage. 

Used Hegel H2 or H20.

Last year I purchased a pair of Cary CAD 500MB monoblocks for just a touch over your limit -  500 wpc into 8 ohms and 1000 wpc into 4 ohms.  Very nice sound too....read the 10Audio review.  

+1 for the Parasound A21 or A21+

A bit above your budget, the Musical Fidelity M6s PRX at $2699 is an absurdly good value for a new amp.  MF is a great value and I find the sound profile to be a bit more musical and engaging than Parasound.  230w is a massive amount of power.  It will drive your speakers easily.  Full disclosure, I am an MF dealer.  PM me if you want to discuss that amp.  

Used, see if you can find a Rogue Hydra or Medusa.  They should be in that price range and are brilliant.  I have a Hydra and have rolled in Cifte NOS tubes and it is spectacular for the money.  The Hydra is 100w at 8 ohms and will double output down to 2 ohms.  The Medusa is 200w and will double output flown to 2 ohms. 

I am am not sure if Kevin still has them but Upscale Audio used to have a used unit in stock from the Rogue.  

Vincent also has a really nice amp in this price range.  Can’t remember the model off hand.