Not sure what your plan is to get to I80, but here are a few suggestions to relieve the boredom.
From Cody head south on route 120 for a soak in the hot spring pools. Then continue on route 20 through the Wind River Canyon to Shoshoni and on to Casper to pick up I25. Get off the Interstate onto route 26 to Guernsey to see the best preserved Oregon Trail ruts and Register Cliff with Pioneer names still visible in the rock. Nearby Guernsey State Park has electric hookups. Continue on route 26 to Fort Laramie with some restored buildings dating from the Oregon Trail days. Further down route 26 are Scotts Bluff, Chimney Rock, Ash Hollow and Windlass Hill, also Oregon Trail sites. At North Platte is the home of Buffalo Bill Cody and also the Bailey Yard of the Union Pacific RR. This yard was part of the original Transcontinental RR and has grown to be the largest RR yard in the world. The Golden Spike Tower (fee) provides an elevated view of the yard operations. At Kearney is Fort Kearney, also dating from the Oregon Trail days, but not much there compared to Fort Laramie.
Further east, it's pretty much corn and soybean fields all the way.