Integrated Tube Amp approx. $2,500

I’m by no means an audiophile expert and have a modest system but I have no problems recommending the Black Ice integrated. When I decided to dip my toes in the tube waters, I bought a Jolida Fusion 6802 which is the predecessor to the FX22. I’m running it with EL34 power tubes. I’ve had It five years with no problems. Although I have loaded it with NOS tubes. I’m very happy with it and have no desire to move away from tubes.

Cary Audio Design SLI-80

Rogue Audio Pharaoh II (hybrid) can be found  used for $2.5K

I’m currently using a Black Ice Audio F35 to drive my Dali Helicon 800 towers.  The 800s are only 87db efficient and the KT88 output tubes provide 85 watt output. The F35 replaced separate amp/preamp at 3 times the cost and compares well.  
 

For as efficient as your Cornwalls are I would think the F22 would be more than adequate.   
 

If you could find a used F35 that would be your best value, or even a used F22.  But the F22 is available today.   
 

I’ve been very impressed with Black Ice Audio.  

Few people recommending the Willsenton R8, I think its a good amp but not for Klipsch speakers. The Cornwall’s are too efficient for the R8 IMO. You’ll have very little volume range and the remote is too sensitive and is basically useless for the hi efficiency speaker group, just moves too fast to be useful.

Friend drives his Cornwalls with an el-kit 300b amp thast really stunning. For the money its fantastic and well within your burdget including a building service as they come as kits.

another recommended the Decware amps if you can get one they are also great amps.

Finale audio /triode labs used would be fantastic and end game amps. similarly the frankenstine 300b amp.