You are actually right...FORGET ABOUT AUSTIN...expensive and is the liberal mecca of TEXAS. Stay far away from Austin.
You might want to rent in Bryan-College Station first until you get to know the area. I've found that to be the very best way to learn an area then select the neighborhood you'd like to live.
"I am considering it, but I was thinking that Bryan-College Station was more family friendly, less expensive."
Having lived in both College Station and Austin, I can tell you that CS is the more family friendly and inexpensive of the two.