Just spoke to the Albany County Sheriff's Department and the Laramie Police Department. The PD confirmed for me that UW is off limits for open carry and suggested I call the campus to ask about concealed carry. The Police Department also suggested I should steer clear of the campus area, since OC in that area will be more likely generate calls.
Personally, I've OCed downtown (on 3rd and some areas of Grand Ave.) with no problems. My OC is a massive 357 revolver so it's hard to miss. Never had any run in with Laramie PD although I have had a few police cruisers drive by very slowly. I waved and they waved back.
Albany County Sheriff's Department
City of Laramie Police Department