I have hot tape over all my gates, mainly to stop a horse from getting caught in the hinge area if it should be silly. It's easy to turn the fence off but it is up to the BO.
I had a horse come in for boarding that I neglected to ask beforehand about cribbing. I couldn't just tell her to leave so I worked it out. I have bite guard all over every edge of his stall. After he was here a while he stopped cribbing & didn't need a collar but he has a sacrificial bucket he likes to wind suck on at times.
If I were you I would look for another place willing to do what it takes.