+xNo, we don't have an oven but we were going to use the non-autoclave pre-preg and a heat gun
I have done plenty of tube repairs like this, regular wet resin systems with carbon, shrink tape and heat gun.
Make sure the shrink tape is overlapped 2/3 to create 3 layer shrink film. If it is just 1/2 overlapped as 2 layers then the shrink tape can create a bit more bumpy finish. 3 layers is smoother.