I'm very appreciative of all the advice given here!
Our flock will be provided with a secure coop to take refuge in at night.

Thankfully, there's a lovely, airy shed on the property which can easily be converted into shelter. Should hardware cloth be sufficient to keep minks out if installed properly?
I know a couple individuals who've dealt with mink attacks during the day, which is what scares me most. The birds will be free-ranged daily to cut down on tick population.

Sadly, I think a few deaths here and there are inevitable. Best I can do is try to be proactive about trapping (very thankful for the information concerning prime bait!).
Former owner of our new property didn't mention anything about seeing minks. His only issues were with foxes and dogs allowed to roam. Hopefully things will work out for the most part.
~Alex