A worthwhile but often frustrating pursuit.
Google says 50d F is a magic number for mosquito-hatching, I think Uinta mosquitoes might be even lower, like a consistent sunny 40-45d... but I have observed two conditions that seemed to be prevalent when doing a June trip and seeing fewer mosquitoes.
I am not a scientist, that disclosure aside, I have had some successful and unsuccessful attempts at just this thing.
Normally when successful it is a very short window when it is still cool outside AND either within a few days of the ice melting off the lake, or ice still covering much of the lake. Luckily as you change elevation you can have different mosquito pressure.
A few years ago we went to Amethyst in mid June and thought we had nailed it. First night there were only a few mosquitoes. Few enough that we slept on the tarp en plein air. The next day it warmed up and was sunny. As the sun was going down the frogs burst into song and the mosquitoes rose in dark clouds from anywhere remotely wet. Quite the sight.
We were unable to enjoy dinner or even kill all of the mosquitoes buzzing in the net that night.
Another year there were plenty of mosquitoes in the morning at the Crystal Lakes TH, but up by Island and Ramona there was still some snow along the far shore and it was cooler, and we did not see any for two days. I think there might have been parts of the day 45-50d, but the rest was partly cloudy and chilly.
I am resigned to this year being full of mosquito clouds from snowmelt into July and even early August.