The room is 25'L X 17'W X 14'H. Budget can go up to $20,000
A member of my audio group has a room 42L X 25W X14 H and powered Kharma Exquisites which are less efficient than your speakers. He was on the edge, not really enough power but since your able to play loud with less and your space is a bit smaller the Lamm may work.
The speakers are analytical so I do not need amps that replicate this. Musicality is what I am looking for.
The Lamm is musical, as are many tube amps. I can think of tube amps that are very modern and almost pass for solid state but Lamm is not one of them.
The other amp that would work is the VTL 750. They are half your $20K budget or less and have similar personality (overall tonally) to the Lamm. The Lamm is better at low level detail, runs cooler and is a less complicated circuit and it's personality shows in the music. Still, the VTL is wonderful if you want power and great tonal balance.
I just typed Lamm in the search box on the front page of Audiogon, there's a pair for sale at $11,000.00 (within your budget). I know nothing about that seller or the amps but if typical resale price it does fit your budget.
The good thing about used is you don't take nearly so much risk. If you buy Lamm , VTL, Audio Research or other well known product and don't pay too much, it's as close as you can get to money in the bank and still be able to try it out.