First of all, welcome Xdfo.
I also suggest you to build a Valvecaster. Very simple and safe build with a tube. In fact, some time ago I came across this video:
https://www.youtube.com/watch?v=FHOXIhWkpss. You can see his build is modified with some added circuit, but if you build the regular Valvecaster and drive it with your TS you'll get very similar sounds, with the extra option to have the Valvecaster only without any drive circuit driving it. Just be sure to use a 12AU7 tube, a 12AX7 will work but with a poor result.
Btw, even it's name, the TS can drive solid state circuits pretty well, and also can be driven by other circuits pretty well. So be sure to try the TS driving the Valvecaster (if you decide to build it) and the other way around, and check which one you like best. I have in my pedalboard a booster, followed by Mad Professor Sweet Honey (which is a TS variant), followed by a Zen Drive (another TS variant), followed by a mid gain overdrive and followed by a hi gain overdrive. This way, I can have a TS variant driven by a booster, or a TS variant to drive another TS variant (my main distortion tone for now), or a TS variant driving a mid/hi gain overdrive. Too much options, I know
