In response to some of the queries regarding long-term weather for the Mt. Peely area:
This area is very dependent on the kind of winter that Arizona gets. It could be mostly snow-free all winter, or it could be under a foot or more of snow for several weeks at a time. It would be extremely unlikely for it to be "snowed-in" all winter.
The peak of Mt. Peeley, Sheep Mtn, and the ridge are approximately 6,800-7,000 feet in elevation. While accumulating snowfall can occur down to about 4,000 feet, anything below 6,000 feet typically lasts only a few days before melting. The Mt. Peely Trailhead is at 5,600 feet, but FR201 reaches almost 6,200 feet on its way to the trailhead. While I don't believe that FR201 is ever officially closed, it is possible that it may become impassable during the days and weeks after a snowstorm.
Most of the winter, the south and west facing slopes in the area will be snow-free. North-facing slopes will accumulate more snow during storms and it will melt much more slowly. Shaded drainages may have snow in them for several weeks after snowstorms. A few hundred feet in elevation can make a huge difference in conditions on the ground. There could be a foot of snow at the 6,200ft high-point on FR201, while the trailhead at 5,600ft may be bare.
For Arizona hikers familiar with Four Peaks, the Peely TH is very similar to the Lone Pine TH. There are times of winter where it is accessible, and others that its not. There are times that it looks dry, but as you progress on your hike up toward Browns, you realize that there's some deep snow on the back side of the peaks. These are the same kind of conditions you can expect on Peely. It is very dependent on the kind of winter we have.
There are no remote weather stations in this part of the Mazatzals, but I'm copying some data from the averages at Crown King. I've selected Crown King because its elevation is similar (5,900), and it is located in a similar mountainous topography.
Crown King, AZ 1970-2000 Averages Nov Dec Jan Feb Mar Apr
Average Max. Temperature (F) 55.9 50.2 49.0 52.5 57.8 65.5
Average Min. Temperature (F) 30.0 26.1 25.5 27.2 30.4 35.5
Average Total Precipitation (in.) 2.40 3.32 4.25 4.51 3.40 1.33
The condensed version of all that is that access to the area will most likely be available for much of the winter, with occasional periods where snow impedes access.
As for today's storm, radar shows that they've been getting good rain today, with the snow level dropping to around 5,500 feet overnight. Accumulating snow will likely be 6 inches or less and despite a cool week ahead should be melted in the next few days.
This photoset from February 2007 nicely illustrates the kind of diverse conditions typical of winter in this area. North slopes snowy, south slopes dry and rocky.
http://hikearizona.com/photoset.php?ID=3317