Recommendation for tube amp.

These Quicksilver mono amps would be a nice fit! Plenty of power for those speakers!
http://quicksilveraudio.com/products/midi-mono/

I owned the Triton 1s for a year. You don't need that much mustard as it's just a couple mid drivers and a tweeter (woofs are powered). I used a variety on mine, including PrimaLuna and Rogue Cronus Mag amps, both tubed. 

But to your question: van Alstine - UltraValve will set you up for life, or the life of your T1s anyhoots. 

Last year at Axpona the Primaluna room was paired with GoldenEar speakers. I believe those were the Triton Reference though I’m not sure. Amp was Primaluna Dialogue Premium and preamp. That combination sounded really good. I was quite surprised because I heard the Triton 1’s at a local dealer the weekend before and they didn’t do a thing for me (at the dealer they were mated with cheaper solid state but for the life of me I can’t remember which brand). But at Axpona they were really singing well with the PL stuff. Used you could probably find a PL Dialogue Premium within your budget. Best of luck.

i would stretch to purchase an ARC Ref 75 non se version as it looks like you could take a truly great amp home for under 4k. it’s one for the long haul. 

Scott,

 I’m intrigued by your recommendation of the van Alstine.  Did you use it with the Tritons? 
It certainly is affordable. And they say it’s inspired by the old Dyna Stereo 70 which I owned and loved.