The recent Salt Lake weather has made an inviting target, but I've decided to conclude my comments by referring the issue to a professional source that both admin and I respect.
Jim Steenburgh":3i2mfiyk said:The inversion season is Nov-Feb. Only rarely do we see inversion-like phenomenon in early March. The reason for this is that in March the sun is high enough and the days are long enough that it can quick burn off any cold pools that exist in the valleys. I have seen a couple of weak inversions the first week of march, usually when there is snow on the ground in the valley.
I haven't done much of an analysis of dry spells in the Wasatch. From an average snowfall perspective, things don't change much at Alta from month to month. Some people believe inversions and dry spells are more common in January, but I've never seen a good analysis of this. The conditions that lead to inversions are associated with large-scale upper-level ridges, so inversions tend to be associated with below average snowfall in the mountains.
Although I don't know a good dry spell analysis, I do have access to an analysis of air pollution in the valley by week of year (1 being the first week of January, see attached). This shows very clearly the inversion season from Nov-Feb. It could be argued that bad air quality events are slightly more frequent in January than other periods. I'm not sure if one can say that also indicates more dry spells. January may have more events simply because there is a greater likelihood of snow on the ground then.
Sorry I can't completely answer your question. Even with these dry spells, the Wasatch still probably have the most reliable snowpack and snowfall likelihood in the western US. The best odds for powder anywhere in the world is Hokkaido in January.