TC is not Susvara, it doesn't need a speaker amp. It needs a synergystic system. I tried a selection of headphone amps and a few speaker amps and quality / synergy is what's important.
Some picks I remember liking : Soloist 3XP (with swapped opampas and psu), Soloist GT (swapped op amps and psu), Bliss KTE (still have it, great pairing), Cayin HA6a (can sound phenomenal with the right tubes), Cayin HA300MK2 (tried a bunch of tubes, most sound famtastic, also Elrog), Audio Note Vindicator Silver Sig (with synergystic tubes it's the best pairing I've heard. Does everything and more and then some.).
Vindicator is a tube speaker power amp, but it's not important, it just has crazy good synergy in my system.
Obv YMMV, but long story short, TC can sound great with many amps. You don't need a nuclear power plant to power it either.