I need help with an amp decision

+1 for the Benchmark amp.
Extremely  clean and accurate.
No coloration.

I ran Tannoys somewhat like yours years ago (Tannoy Eyris DC3), plus I’ve had many more Tannoys. They do well very with Rogue tube amps for the money, and I can whole-heartedly recommend these (especially a Stereo 100 or Stereo 90 Super-Magnum), but you specifically requested SS. I’m sure Rogue’s hybrids (Hydra, Dragon, Pharaoh) sound quite good, but I just never felt the desire to jump into class D so I haven’t tried them. Also I’m very much not a fan of the 12au7 tubes they use in their front-end - I can tolerate *some* 12au7 in a tube circuit, but these are literally the only tubes in these hybrids.

I also have had great pleasure running Tannoys with the Parasound Halo series amplifiers. Even the entry level A23 (today’s A23+ should be even better) should sound amazing with your Tannoys. And you can move up from there, as you like (A21, used JC-1). Wonderful, warm and smooth sound not totally unlike tubes, but with the punch and power of SS. Music lovers can truly enjoy the Tannoy DC / Parasound combination.

hegel amps are a good match with the tannoy towers.  

The First Watt J2 has balanced inputs. I’m listening,and looking at mine this very minute. 

Harmon Kardon Citation 16 but no balanced connections.  One of the sounding SS amps for the money.  Older but so easy to upgrade for audio bliss.  Or look for the BEL amps  very musical and easy to upgrade again.