I think it could be a cool experience to try one of the unlimited areas, and I don't want to rain on your party, but having hunted or helped on 10 successful sheep hunts, the AVERAGE hunt has been 8 days, even in exceptional sheep country with limited hunting pressure and high hunter success. I researched the unlimited areas years ago, and even considered hiring some of the best guides in the area, but even then the odds at killing a sheep were quite low. I would have to believe to have any reasonable chance of success it would take weeks of scouting over multiple trips. I've known of two guys who have had good success on these hunts and they both were long time residents of Montana and spent enormous amounts of time in the field.