us? we'd take the extra time and head south. when we were snowbirding we'd leave home in NE Illinois right about now and head south on I-55 to I-12 and then west on I-10. Usually, when we were at or south of Memphis we would lose the really cold (<32) temps.
When we would head out to Mesa in March for Spring Training we'd take I-57 south to I-70/44/40 and west from there. There were a few years when 40 was closed around Flagstaff due to a spring blizzard. Plan B was I-25 south from 40 in ALB to I-10.
In your case I'd head south and pick up I-10. you still might encounter a bit of snow and/or ice (we did in 2020 at San Antonio and again in Las Cruces) but it was minor. the big issue was the lack of highway snow/ice removal equipment. So, we hung around for an extra day to let the sun take care of the roads.
