First I think you just need to come to terms with the fact that it will take a while to figure it out, and that you just need to go and do it to start that process.
Second it's considered uncouth to talk about units and spots just as a general principle and especially because if someone googles Wyoming xx unit, this thread will immediately pop up.
There is a ton to learn about elk hunting, finding them and dealing with them once down are the most important. IMHO they aren't particularly hard to kill... much easier than WT in many respects, once you find them.
It's going to be hard for anyone to make any recommendations without any information about you, fitness level, how comfortable you are camping, hunting solo, etc.
Personally, I don't think started with archery elk is a great idea for first time western hunters. Mostly because if you get one down you have a high potential to waste a ton of meat, they are big, it's a ton of weight to move, you need to work quickly in September when it could be pretty hot, and you need a plan to get the meat cooled off.
My 2 cents, if your going solo look at early - mid October rifle cow hunts.
If you are dead set on bow still consider a cow, and limit how far you hunt from the trailhead.