You will be getting regs in the mail from Wyo (if not already). Check the dates, but the archery hunt generally runs dates in Sept. Most units it start Sept. 1st. I'm not certain 100% on 102. You purchase the archery permit and are allowed to hunt the archery season, then return for your regular rifle hunt.
Also, don't forget in Wyoming you need a conservation stamp as well. You can buy those, along with the archery permit, at any dealer in the state that sells licenses. Won't be hard to find either one once you cross into Wyo.
ODDNUT1
Kirt C.
Hunt Odds.com