Winter camping ... in November? Matt I know you know better than that. This is Arizona.
It's also a La Niña year, which in the past has kept even the San Francisco peaks entirely void of snow as late as February.
With that said, head for the higher elevations. The White Mountains will have that winter feel by Christmas even if there's no snow. The lakes freeze and clear nights are very cold. And regardless of the weather, there's relatively good access via US 191 to Alpine and Hannagan Meadows and 273 (i think?) to Big Lake.
In general, however, February and March are Arizona's snowiest months if snow is your main ingredient in winter camping.
I find that the western Mogollon Rim is chillier than the white mtns however, even at lower elevations. The area along Forest Highway 3 / Lake Mary Road between Clints Well and Flagstaff is a good starting point. Most of it is in the 7000+ foot range, but there's a few 8000+ mountains, including Mormon.
I also find that once it has snowed a bit, the portion of the Mogollon Rim west of Heber where FR300 meets HWY 260 tends to keep snow for the season. Promontory Butte (which I believe is still closed due to spring fire) is 8000 feet, and the lakes near there do freeze. (Bear Canyon, Knoll). Keep in mind that after snow, the forest roads up there are often closed to all motorized traffic. (except snowmobiles)
While I've never been there in the winter, I've heard that the North Rim of the Grand Canyon is spectacular in winter. Not sure about access though.
On a sidenote, I attempted a winter-season camping trip once to a spot not far from Promontory Butte. The weather called for light rain and cool temps in the 40s, possibly mixing with snow overnight at the highest elevations. At 2pm it started snowing. HARD. By sunset, there was 6 inches of snow and still coming down. It was too wet for us to get any kind of a fire going, and our tarps and tents were soaked and heavy wet snow was weighting them down. At 8, we packed up and drove back to the valley. Put the tents up in the back yard, built a fire, and started drinking. We didn't even allow going inside to use the bathroom or make food
. It was winter camping ... Tempe style. And after that little snowstorm ... that's how I prefer my winter camping!