I'm more worried about the distance west and cold dry air moving down from Colorado. I took a quick look at the Plant Hardiness Zone, Wichita Falls is 7a, Wise County 7b. If I'm planting a plot for food I like to play as many factors as possible in my favor.
That is why I mentioned I would go by what the local feed/and seed recommends as far as an oat, BTW, iirc, they where in zone 8 as I was before they changed the hardiness zone in 2012, but not 100% on that.
I have never had luck with deer eating turnips, but then some guys swear by it. I put in 2 lbs last fall. A couple lbs of seed is cheap, but it may take a couple years for them to figure out what to do with turnips.
Might want to look into Iron clay cowpeas, or Austrian winter peas, deer take to them great and if they survive browsing, help build your soil up.
FWIW, I have seen a preference in deer in several counties in Texas for oats over wheat, the only reason I plant wheat is for freeze out insurance. It also seems to toughen quicker which is likely part of the reason deer like oats.
If you want to really gamble, you could try a dry land alfalfa cultivar, I had a 4 acre alfalfa food plot for 6 years in southern Erath county, think it was Ladak (sp) developed by A&M for dry, warm climate.