I'm guessing it will be pretty tough to get a place to hunt this late in the season. Most of these island folks are pretty tight on their access, let alone for hunting. A lot of landowners have problems with rabbits, I would think rabbit reduction could be a good "in" earlier in the year. The other thing to look for would be gardens or orchards, these are the folks that will likely have a dislike of large numbers of deer. When approaching these people, I would emphasize the quality meat, local sourcing angle.
Good luck