Taking a look at the front this morning, I see a VERY SHALLOW layer of modified Arctic air south of College Station and just south of Austin. I've plotted some model soundings using RUC to demonstrate how shallow the cold air really is.
First, here's College Station:
http://myweb.cableone.net/nolasue/cll.gif
Since most of you won't understand that chart, I'll explain. The cold air over College Station is maybe 1000 ft deep. Above that level, the wind is from the south at 35-45 mph and the temperature is in the 16C range (low 60s or so). Freezing level aloft near 11,500 ft.
Over in Austin:
http://myweb.cableone.net/nolasue/aus.gif
The cold air in Austin is maybe 1500-2000 ft thick with temperatures in the low 60s just above that level and south winds 30-45 mph. Freezing level aloft just above 11,500 ft.
Farther north in Waco:
http://myweb.cableone.net/nolasue/act.gif
In Waco, the cold air is a bit deeper, maybe 2000-2500 ft. Temps just above the frontal boundary are near 60 with a S-SSW wind of 35-45 mph in the warm air. Freezing level aloft near 11,500 ft.
Dallas:
http://myweb.cableone.net/nolasue/dfw.gif
In Dallas, the cold air is still deeper, maybe 2500-3000 ft thick with upper 50s above that. Freezing level aloft is in the 11,000 ft range. So lots of warm air above the surface near-freezing layer. This will limit precip to freezing rain and sleet. No snow.
Now let's look in Oklahoma City where the cold air is much deeper:
http://myweb.cableone.net/nolasue/okc.gif
The graphic indicates that the cold air is about 6000 ft thick with a sub-freezing layer from the surface to 4000 ft. That's enough for snow. Above that cold layer is a warm pocket with temps in the upper 40s for a bit then dropping back to freezing aloft at about 10,500 ft.
So the cold air is VERY shallow on the leading edge of the front now. With a very warm ground ahead of it, the leading edge of cold air should steadily modify today. I think the boundary will reach central Houston by this evening, but I don't think the temps will immediately fall into the 30s behind the front as they did up north. Upper 40s to low 50s more likely post-frontal at least for a while in Houston.
Maybe mid 40s or so tomorrow morning and then a slow, steady drop toward mid to late afternoon Sunday when the secondary surge of Arctic air arrives. After that, it's low-mid 30s through at least Wednesday morning. Good chance of freezing rain here from Monday afternoon through Wednesday morning. Freezing rain amounts will be greatest around I-10 corridor and just north of there, decreasing south of I-10 -- particularly around Galveston Bay.