The weather is chilly the end of November. Chances of snow are good but less than an inch most likely. Usually we get our first snowfall in November. Although I have seen it over 6 inches that time of year this is not the norm. The canyon is beautiful in winter and a real challenge for hikers; but well worth it.
I never recommend day trips to the canyon, especially from Phoenix. As noted above it is a good 4 hour trip up with no stops and assuming perfect traffic. You will not appreciate thie beauty and the wonders. A better option if possible is to stay at least one night there. That gives you more time to go to most of the lookouts and a short hike.
Harry