Oh man, just *ask* me about raccoons!!
We had some get into the unfinished attic of our house during the remodeling, where they reproduced; we ended up with a bunch of them that moved in and out and finally moved in and stayed put (we live in a woods). Wouldn't go into the traps regardless of bait, weren't bothered by predator urine either. Had some get into inaccessible areas and they died there, stinking up the house something awful. Whole thing finally resulted in a partial roof tear-off, replacement of some ceilings and drywall, complete "hazmat process" on the attic (guys in space suits, extensive decontamination procedures), all new insulation, etc., replacement of thousands of dollars worth of security system stuff (chewed wires caused short-outs), etc. etc. Took forever, with the house like a disaster area. Fortunately, the homeowner's insurance covered most of it because raccoons aren't classified as "rodents".
If you're gonna shoot them, use a major caliber (with the right ammo) and make sure you hit them right. I saw one soak up some poorly placed 9mms and keep going. You absolutely do *not* want to tangle with a raccoon, let alone an injured one. Hitting one with rocksalt could change your life forever, no foolin', so forget about that or hitting them with BBs. Yeah, they're cute (my uncle had a tame one for many years), but they can be as nasty as critters get and their vital-hit zone is pretty small (and they don't stay still once they're injured).
What the exterminators/trappers do with them will be determined by local laws. Some areas let them relocate the critters, others make them kill them. A lot of it has to do with the prevalence of rabies in your area.