You will be extremely limited in your shot opportunities attempting that. It can be done... But I would ask
... Why? If you have money to go to Wyoming then you have money for a better firearm. If you just want to do it for the challenge, or a sentimental reason or something.... Then go for it. It will be a challenge. Nearly like archery hunting except you'll be doing it in high pressure gun seasons.
If you actually want to hunt these critters out west i suggest you start buying preference points NOW.
LIKE TONIGHT. I believe wyoming points close either today or tomorrow.
Good luck! Wyoming is a fantastic place to hunt.
-Jake