If you’re hoping to get lost in the rain on your romantic getaway, check out these details about year-round temperatures in Jamestown: The hottest months are usually July and August with an average temp of 66°F, while the coldest months are February and January with an average of 28°F. The snowiest months in Jamestown are March, February, October, and November, with each month seeing an average of 12 inches of snowfall.