If you’re looking forward to lots of outings with your partner, check out these details about year-round temperatures in Cooke City: The hottest months are usually July and August with an average temp of 62°F, while the coldest months are February and December with an average of 22°F. The snowiest months in Cooke City are March, February, January, and April, with each month seeing an average of 30 inches of snowfall.