Lets see, in Wyoming even with a permit, in addition to the places you can't carry in Utah, you cannot carry in:
Any facility used primarily for law enforcement operations or administration without the written consent of the chief administrator
Any meeting of a governmental entity
Any meeting of the legislature or a committee thereof
Any school, college or professional athletic event not related to firearms
Any portion of an establishment licensed to dispense alcoholic liquor and malt beverages for consumption on the premises, which portion of the establishment is primarily devoted to that purpose
Any place where persons are assembled for public worship, without the written consent of the chief administrator of that place
Any elementary or secondary school facility
Any college or university facility without the written consent of the security service of the college or university
Any place where the carrying of firearms is prohibited by regulation, which since Wyoming doesn't have preemption, could be anywhere
Oh, and Wyoming only issues permits to residents.
I'll keep Utah's gun laws.
"I would remind you that extremism in the defense of liberty is no vice! And let me remind you also that moderation in the pursuit of justice is no virtue!" -- Barry Goldwater, Acceptance Speech as the 1964 Republican Presidential candidate.