Mountains in Idaho (Sawtooths, White Clouds) will be cold in November, and have a possibility of snow, but could be beautiful. Same with the Sierra Nevada, Cascades, Olympics.
How about Grand Canyon? Its the same view any time of year, and it would not be likely to get snow, but it might be cold. Might be the perfect time (during the off season) to hit Havasu Canyon.
Also, canoe trip on a big mountain lake, with fishing and day hikes, like Ross Lake, Lake Chelan, Yellowstone Lake.
Grand Gulch in So. Utah, but water would be difficult, and it still would be cold.
Hikes east of the Mississippi, I'll leave to others for advise.