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.
Here is an inexpenive and effective deer feeder I made recently.
No batteries to go dead, no hoisting it up in the tree, plenty of capacity, very easy to fill - so far, I love it.
I have made two of these and they are easy to build.
An empty 55 gallon drum, some 2x4's, some PVC tubing and fittings, a little bit of hardware and some paint - and you are ready to go.
I designed it so you can stand on the lower rung and fill it - the top is about 6.5 feet above the ground.
It holds about 375...