I totally understand!! We have a lot of coyotes so i'm guessing they must keep the rabbit population down.The squirrels are another story they have become such a "pain" I'm tired of replanting my semp's in the rock garden,the squirrels don't eat them but they dig them up while digging for acorns.Other than digging holes they really don't bother anything.There's a stream down back and we see deer from time to time back there but not a whole lot.My hubby does hunt deer,turkey etc... He said the other day it looked like it was time to thin out the squirrel population,but it's young small ones doing all the digging,the older,bigger ones stay out of the yard.
I had no idea that rabbits could cause so many problems.We have coyotes to deal with.They are dangerous at least i don't let my grandbabies play outside at night unless they are in the middle of the yard and in well lit area's.They hunt in packs and can take down young calf's,fawn's,small dogs.I wouldn't be surprised if they would go after a small child if hungry!!
Good luck to you & yours Neil !!