The problem with that is there isn't much stabilizer in the TriChlor pucks, but if it is your only source of chlorine, CYA levels will climb over time and be too high. That is the biggest problem with stablilized chlorine. Yes you can use trichlor to raise CYA. If you need to raise you CYA a lot it would take way too much trichlor. (too much chlorine) Also once you have stabilizer in your pool it doesn't change that much. Only washout tends to lower it. It shouldn't be that you need to adjust the CYA frequently.

Personally I keep my CYA around 20. and use bleach as my source of Cl. I can get away with low CYA levels because my pool is covered when not in use. If my CYA drops a bit I do add a bit of Dichlor as my chlorine until the CYA is where I want it. I only use it because I still have a bucket of it.