Salt Lake City
Yeah, not too many easily accessible nude places close by to the SLC area.
There is the "nude beach" out by the Great Salt Lake, but I don't think now is a good time of year to go there.
Like SkinnyGuyUT mentioned, I am also a member of the all-male nudist group, UMeN. They will be holding a naked lunch on the first day that the temperature in SLC is forecasted to hit 70 degrees. It's a long shot that that will occur while you are in town, but a possibility. Go to the site to find out more.
As a more possible alternative, if you find a buddy or two in Salt Lake to join you, there is the hot tubs on State Street.. private room hot tubs for hourly rental to individuals/small groups. I have been there a couple of times with fellow nudists, once with just other men, and once with a mixed gender group.
https://www.wasatchspas.com/rentals.htm
I would enjoy hanging out with you if I can arrange my schedule to do so. Send me a private message if interested.
Hope you find some quality naked time while you are here!