Nursery loss to vermin

[antigrassguy]

Im gonna try real hard to not swear. Rabbits. They girdled 10 3" camperdown elms, topped 30-40 purple leaf plums, trimmed 15 or so swamp white oaks, side pruned 20 or so columnar maples, raised burning bushes and weeping beeches. Our dog cant catch them so Im trying to help him by slowing them down. Live trap and apples. Trying to eliminate homes by not keeping log piles in one area to long.
Anyone have any other ideas on how to eliminate these buggers? May have to fence or something as they, well, breed like bunnies.
We just got some new stuff and I am not wanting to just add to the salad bar. Thanks,

 

[BlueRidgeMark]

Big cat maybe?

Or a smaller dog that lives there full time. Like a wiener dog, maybe. The were bred to go into burrows.