You said "around Austin", so are you not planning on living IN Austin? Austin is the cherry, though it can be an expensive one. There are plenty of suburban areas that aren't central city that have "good schools and great for families" and prices will definitely be less than something more central. If you leave Round Rock out of the equation, then you are looking at suburban communities in Austin ISD, Leander ISD, Eanes ISD, Lake Travis ISD, Hays Cosolidated ISD, Del Valle ISD, Manor ISD, Dripping Springs ISD. A little further and you get to Hutto ISD, Taylor ISD, & Georgetown ISD. All of these areas could be considered as areas to live in the "greater Austin area". Of these, I would look at the better schools in the school districts of Austin, Lake Travis, Eanes (expensive for the most part), Leander, & Pflugerville for high achieving schools. There will be nicer neighborhoods in all of these.
If you sent me a price range to work in, I would be glad to send you back some more detailed suggestions. I've lived in this area for 40+ years and worked as a Realtor for 25+ of them. My experience could be useful to you. Give me a call at (512)203-4100 or email to firstname.lastname@example.org and we can get a finer tune on what you are wanting and what can work for you.
Thanks for posting the question. This is a wonderful area to live in.
Joe Bryson, ABRM, CRB, CRS, GRI, SRS
Real Estate Alliance, Inc.