Dry through Wed. Rain and snow (?) Thu night?

We are entering a chilly stretch here. Chillier still tomorrow (Sun) and then we "warm up" to seasonal highs in the 50's by Tue/Wed. A little cooler Thu and much colder over the following weekend. But what is this about rain and snow? 

A strong system will be organizing over the southern plains states midweek. It will move NE toward our area at the same time a push of very cold air (winter-like) will be pushing SE. Timing of the arrival of cold air and moisture from the storm will be key as to what we get. For ex: 

1. Storm is earlier, cold is late = a soaking rain. No cold air to support snow. 
2. Cold is earlier, storm is late = sprinkles or flurry as its all pushed south. Cold air overwhelms doesn't allow storm to develop. 
3. Cold and storm time just so = rain possibly changing to snow for us; rain to the south, snow to the north. 

What will we get?  I would plan on rain, with snow north. Hard to change rain to snow around here when you start with temps in the 40's. If we start off in the 30's ... well then it does happen. But I just don't see it at this time.

I do see us seeing some snow flurries and even a snow shower Fri - Sat of this upcoming week. 

​Enjoy.