Don't waste your money on throw and grow. It's just ryegrass. Buy a 50lb bag for a quarter per pound of the cost of the fancy stuff.
South MS hunters are experts when it comes to ryegrass for deer. It ABSOLUTELY attracts deer from pinestraw habitats, even if there is almost no usable nutritive value for deer. I dunno about TN, as I only used it once a few years ago on a new plot I dozed in early October, needed the erosion control, needed something that would come up fast. I used the 'Fria' version, and it was lush! Deer didn't find the new plot until it was 6w old and a thick 6in carpet, but they camped on that plot from Dec till Feb. It produced a ton of organic matter that improved my soils, and I didn't get enough reseeding to be bothersome the following fall when I put in my first real plot in that area.
I've heard 'winter grazer' variety produces well in TN, but haven't tried it.
The big plus about ryegrass is that it will grow on concrete if you get a little moisture... thats why it's in the 'throw and grow' mixes. I've seen some nice stands in the back of pickup trucks that spillage germinated and grew well.