Hi DaveL,
Unfortunately trapping and eliminating is what is more efficient.
Think about this : You should remove "just one" now, but maybe 10 in 3 years, "because you didn't act swiftly" ... Think about your neighbors, what will they think "of you feeding/raising such a herd".
Moreover one can be discrete while disposing of one beast; but 10 ... other people will notice it, and you may get troubles .
Those beasts have their own place, in the wild... Not in my garden or backyard .
You'll do as you want, of course :) .
Fencing the trees could be an option of course .