Cancer in the rectal cuff is uncommon but has definitely been reported. Periodic biopsies are probably a good idea, and if your original surgery was due to cancer or dysplasia (or FAP) then that increases the strength of the recommendation and the suggested frequency of those biopsies. Most people here who get regular surveillance *without* a dysplasia concern report frequencies like every 1-2 years.
The complication you seem to have had from that earlier biopsy is very unusual - the biopsy tool isn’t really big enough to cut a hole in the intestine with a single “bite,” though the scope itself can perforate if used with too much force or if the gut is very fragile. I think in gentler hands you’re likely to have a better result.
I confess I don’t get scoped very often, but that’s not a recommendation. I think the risk to a cuff that isn’t inflamed is modest, but it isn’t zero. I’d expect a new GI would want to have a look and to take some biopsies.