Those are great areas to hunt as well! Surprisingly Medina county just west of San Antonio has some great deer as well. not as grea as S TX, but the deer in that area are between hill country and S TX size.
South of Yancey in Southern Medina county can produce some whopper bucks. I know of a few deer in the 180's that have been shot on low fence places around that area.
We have a ranch for sale that is half in Medina half in Frio that is high fenced and the guy was killing native bucks in the upper 190's.
its all about the genetics in the area. we had a conversation about that the here the other day. Some areas that you would never, ever expect produce large bucks. there is an area right outside of Lytle that will grow a 170" without breaking a sweat. I know places in Dimmit that can't produce a 160" deer to save its life.