I hunted at my place 5 miles north of Hondo last weekend, and killed the buck below. The deer were moving, but not chasing yet. Thanksgiving usually kicks off the rut in Medina County.
The second deer below is the one bow-man mentioned that was shot around Poteet in Atascosa County. I doubt they're rutting in Atascosa county either. Typically start there the week after Thanksgiving.