I agree with those that suggest fully removing all tar, and using a glass bottom under the slate.
I would be careful if you chose to use the Black Jack, and heat... If Black Jack is a solvent, it could potentially cause a fire if vapors are heated quickly.
As for the tempered bottom, you will most likely find that it's crazy expensive. Glass must be tempered after it's cut, so you'll have to find a piece that is exactly the right size pre-tempered or have a custom piece tempered for you. Instead, I would just get double thick glass, like 3/8 or something, if you are worried about cracking.
If you want to just pop the tar off as suggested as a winter activity, you could put the whole tank in the freezer over night, and then pop it off in the morning.
Alternately, leaving the frame in the hot sun might be enough to loosen it up to a pliable state.