Dave, a group of us have been hunting region Y the past 5 years. We've been hunting public land west of Kaycee along Barnum Road and a few roads that branch off of it. My friends have shot a few, fork horns and 3x3's. Myself, missed 2 fairly nice 4x4's my first year. The past 3 years have passed on smaller fork horns....holding out for a nice 3x3 or bigger. Now this year, I just may lower my standards.
As for type of hunting, we usually arrive a few days before the opener and do a lot of glassing in the mornings and evenings to check their travel patterns off/to private land alfalfa fields. Most of these places we already know their travel routes and where to set up. During the day, we usually try spot and stalk or check out new areas. If you have a GPS, I recommend buying a Wyoming chip that shows private, BLM, and state land.
Good luck to you and your daughter.