Actually, there's a better place for this. New Hampshire has a range of mountains known as the Presidential Range. Mount Washington is probably the best known of these. There are several peaks in this range that don't have names associated with Presidents (or patriots like Samuel Adams and Benjamin Franklin).
Two interesting facts about Julian May's Galactic Milieu science fiction books from the 80s/90s: (1) In the first, published in 1987, a character wonders why one of the peaks in the Presidential Range was named Mount Clinton. And (2), A prominent snow-bound planet settled by North Americans is called Denali.