August they can start going away, but it primarily depends on moisture, temps, and wind. The end of August will see fewer mosquitoes than the beginning, but again, it's not necessarily a rule. I've noticed a sizeable difference in the skeeter population in the Bighorns depending on the month. June and July they're fierce. August they START to die down, but I got mauled last year in early August on what I thought was a good dry period in the Bighorns. Then 2 weeks later they were completely gone....after a 22 degree night and 30mph winds that day. I went to the Cirque of Towers in the Winds on the 1st weekend of August this year. We timed a cool front coming through and managed to be NEARLY free of mosq's......1st day there were none, second day there were a few in the evening, 3rd day there were none. All of that being said, if you're planning on doing the Gooseneck Couloir on Gannett, late August will only work on a heavy snow year, even then it can be sketchy. If you do plan on that route, be prepared for the Bergie to be wide open. You may need to divert onto loose rock in order to get around it....which some are not willing to do. This is why most people go during the height of mosquito season, in Mid june - Late July......still enough snow on the bridge crossing the schrund. The worst I've EVER been mauled by mosquitos is in the Bighorns.....literally looked like smoke hanging in the air, but it was clouds of mosquitos. They bit through long sleeve shirt and pants, bug hat, spray......none of it worked. I ended up with bites through my shirt, ON MY BACK. They burrowed down under my pack.....sick lil freaks.
My wife estimated I prob had 200 bites on my back alone. Lol....still had fun though! When you live near ranges known for mosquitos you just kind of accept them as an unfortunate nuisance.