We stayed on the wilderness side of Fremont Lake (about three miles from the Elhart trailhead, north of Pinedale, mid-way between Green River & Big Sandy) for the full 16 day limit last summer and outside of sunset and a super-still night, the skeeters weren't bad but boy were they HORRIBLE when the sun was setting and wind not blowing.
However, we also stayed at New Fork Lake (closer to Green River) the full limit with NO problems at all, even at sunset. Though just for convenience sake, I am installing more screen to allow for better cooling on upcoming "still" nights.
MANUMIT