Carry a plug kit with you.
Plug a tubeless tire to make it back home. Plan on purchasing a new tire.
Tubeless is by far the most common set-up these days.
Never install a tube in a tubless tire set-up.
BTW, in the old days, tires were bias ply and tubed. They were far from the technical inovations and speed/performance rating of todays tires. Their operating environment was much less demanding and severe. You could get away with patching the tube, just as you can get away with patching tubes today. I do not recall any radial tire of today running on a tube. I do not recall any performance machine not using radials.
My dualsport runs on tubes, but hell, it may never see over 101mph.
My ZX10R runs on the Z rated setups. Sustained speeds in excess of 140 or 150....................
I wouldn't be caught running a plugged tire in that neighborhood. But I would plug it and take it easy 2 or 3 hundred miles from home.
Heat build-up????? Hell, I don't know. It's not like you will make a tubless set up toobed or vice versa.