Mount Washington, New Hampshire

The highest peak in the Northeast, New Hampshire's Mount Washington is infamous for its weather extremes. The mountain regularly sees hurricane-force gusts, and below-zero temperatures are possible in late fall, winter, and spring. Guided weather station tours let visitors see how scientists live and work on the mountain.

There's also a multitude of ski resorts within driving distance. At the 1785 Inn overlooking Mount Washington, room rates start at $99 a night, including breakfast for two.