Having owned the Cayin A88T, the close cousin to your A100T, I can tell you the amp will drive them fine at moderate levels. However, dynamic peaks will become a bit flat sounding above 80dB average (measured at your listening position). It won’t harm the speakers because tube amps clip softly. You’ll just notice that at some point the amp quits making the speakers any louder and the dynamics suffer.
Some potential good news is that the circuitry of these Cayins is perfectly capable of handling KT-120 tubes, and the amps sound more powerful fitted with those. The bad news is that apparently all the more recently, post-Ukraine war manufactured KT-120s cannot keep a steady bias according to the guys at Rogue Audio. I don’t know how much stock to put into that claim but it makes me wary of buying any 120s without knowing their manufacture date.
I would probably go with a solid state amp for those speakers. But perhaps you would be best off auditioning a variety of speakers somewhere and choosing a pair based on listening rather than specs and reviews? I realize that can require a lot of leg work but it could end up saving you money and hassle in the long run.
FWIW, one SS amp that I find is very musical and way underrated is the original THX-certified Parasound Halo A21 (not the 21+). It can drive any speaker, is musically engaging, and similar to tube amps, its distortion is second order dominant. I have owned several amps that should be better according to price and reputation but in practice are inferior. The key to getting the most of this amp is to pair it with an ultra transparent preamp and source. A preamp like the Topping A70 Pro (headphone amp/preamp) or the Benchmark LA4 (if you simply want to spend more), and say, a DAC like the Topping D90 Discrete. Otherwise, with lesser preamps (most), the A21 sounds a bit too warm and homogeneous.