Welcome Burner,
I don't know for a fact as I didn't ask my URO when I had BCG installations but, I believe the catheter that delivers the BCG is smaller than the scope. Either way it might be a good question to ask before you take your first treatment because of your stricture. Also, from what I remember, the actual installation was less "uncomfortable" itself than the cystoscopy. I had to remind myself both procedures would be over quickly after the prostate is passed the discomfort might have been 30 seconds. Also, I reminded myself that this is a lot less invasive and more tolerable than systemic chemo.
BCG does have side effects from possible spasms, urgency, burning, fatigues, bleeding etc. Those symptoms do seem to appear when it is more successful and become cumulative. This is all doable and beatable.
There are also some meds that your doc can prescribe to possibly help. As I did not use those there are others that might chime in here as I simply never memorized them. Pyridium is one? Simple drugs like tylenol might help. Drink lots of water to flush this stuff out once your 2 hours are up. I even tried starting water 1/2 way so it would start filling te system....experiment. Ask away as you go. You will get through this.