On the coons and crawfish.....paybacks a bitch!
On the rest of the furry friends, I'd be inclined to establish an outside perimeter using 2' rolls of chicken wire hung on fiberglass posts and making the chicken wire hot (like poultry netting, but stronger). Season long barrier of glyphosate + to keep weeds down so fence can be lowered to the deck to prevent crawling under. Perhaps even some type of non-conductive apron to prevent crawling under. Bump gate to come and go if full coverage is needed during the day. That should help with the fur, won't help with feathers (herons).
Would think somebody would have solved the bird problem a long time ago. Shotgun might do it, but I suspect MDC takes a dim view of that.