The deer numbers are not fantastic anywhere, but with a Y tag the best areas to go IMHO are well west and southwest of Kaycee down where you're thinking about. The Barnum area and other BLM land south and southwest of there can be good and the tougher country you get into on foot away from any road access the better you'll find it. Make sure and have a good BLM map and then also have a Garmin with the Wyoming chip for land ownership so you know exactly where you are at all times because you'll be challenged by some ranchers out there that think they own the whole state! Also, remember you can't access public land by going through private property without permission. If you don't have a Garmin with a chip, get one, because you're asking for trouble without it and the trespass tickets out there generally start at around $200.
Everyone has different ideas about trophy pictures. Looks around and you will see "long armers," "set behinders," "big cheesers," and "blood covered brutes." I have a few tips to keep your trophy pictures from being laughers or worse yet just plain gross.
#1 Clean it up. Try to avoid bullet holes, gut pile, mass amounts of blood, and the tongue sticking out. You don't want your big buck to look like a angry 1st grader with his tongue out or a MMA fighter during the 3 round.
#2 Long arming...