I think all of these have to be played case by case. If the beagles look to be well kept with bright collars on then I would make an effort to at least contact the owner. If it regularly occurs after that, maybe try to trap a few of them and take them to the local pound. I believe the owner will have to pay to get them out through a fine. After that, the SSS rule may start to apply. I think it all depends on the dog and how well upkept it looks. If its dirty, no collar and looks wild I may try to trap it once and take it to the pound. You never know, it could be someones lost hunting dog. After that though, its open season.
Years back there was a farmer who died near where I hunt. He had two dobermans that just ran wild after that. Killing animals and chasing deer. The DNR told us to shoot on sight. These dogs were VICIOUS. I went through 2 bullets that year, one got a deer and the other.......
Again, I believe a lot of these have to be played case be case. Use your best judgement, but reoccuring problems....SSS......