I-25 north from Denver to Cheyenne, pick up I-80 there in Cheyenne and head west. Then the prior recommendations.
You can also cut off some time/distance by getting off I-25 at Exit 269 for Fort Collins, taking CO 14 in to Fort Collins and follow the truck route to US 287 (E Mulberry St, to Riverside Ave, to N College), then take US 287 north to Laramie. It will save you some time and you'll avoid the big winds on I-80 from Cheyenne to just east of Laramie -- it's always windy there! However, "Wind" is the state motto in Wyoming ! !
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