Are there regulations against use of bow and arrow? Also, there are some dog breeds that would take care of the problem. Karillion, pitbull, dogo, Pyrenees or Anatolians would do it. Or one of the tougher German Shepherds.
Ideally, you could borrow one of these breeds and house them temporarily for a few weeks. Or get one of your own. Would need a fence or a long runner line.
Terriers might do the trick as well.
They’re GREAT for rats. I would imagine other critters are just variations on a theme for these dogs.
I had a three legged labrachow from the county pound that was perfectly adequate for tackling coons and driving out coyote and wild boar.
Best coon dog ever, would follow directions left or right to push critters out from the backside of tree trunks , and would go after anything he was told to but totally harmless with kids, cats and chickens.