The access roads to the trailheads on the eastern side of the Sierra Nevada could be snowed in by November, maybe not. But hiking up Whitney in November would not be advisable without winter mountaineering skills and gear, or really good luck. Hard to tell what the weather will bring 1 yr out - could be dry, could be a blizzard, but it won't be warm.
For your situation, I recommend the western slopes of the Sierra Nevada for November. It's about 5-6 hrs from San Diego to Sequoia NP. Nice hiking in the Sequoia groves. More challenging hikes in the area. They keep the roads plowed if it does snow, but you might need chains or 4WD if there is a storm. Check out the John Muir Lodge for comfortable accommodations.
You might also like the Anza Borrego desert east of San Diego - check out Cougar Canyon. Or Death Valley - longer drive but great stuff to see. Should still be pleasant in the desert in November but nights might be chilly.
