I did that section of I-80 back and forth in early / late August a couple of years ago, overall it was good other than construction zones in western Nebraska, which hopefully are better now. Cross winds were an issue at times, a tanker truck just a mile or so behind be was blown over into the median between Cheyenne and Laramie, so that when I got into Laramie all the east bound traffic was being turned around and sent back to town.
Campground comments along I-80 for places I stayed, including west of Cheyenne.
Laramie KOA Journey (lowest level of KOA's) Gravel parking lot surrounded by mobile home parks.
Vedawoo NFS campground about 15 miles east of Laramie, within a mile of I-80 dry camping only, nice campground, high altitude, over 8,000 ft. limited number of sites for larger RV's (3-4 sites larger enough for a class A with TOAD, only 1 or 2 being wide spot in the road "pull thrus")
Cabellas headquarters store RV park, located by the Cabellas store in Sidney, Nebraska, nice enough first come first serve park, tends to fill up around sunset when I stayed there on two occasions. Good place to do laundry, cheap coin op laundry machines as of 2 years ago. Could be ran better, when I was there check in was at the cash registers in the store about a 5 minute walk from the campground, several nearby (sub 10 minute walk) dining options.
4 Season RV park near Elm Creek, Nebraska, just west of Kearney. cheap $30ish full hook-up gravel parking lot across from a soy bean field with self pay drop box where US 183 crosses I-80. Spent 1 night here, did not use any of the facilities, had a fair size metal building which claimed to have restrooms, laundry room, etc. real mix of long term residents and one nighters, everything from falling apart trailers, to high end diesel pushers where there the night I was there.