Which is the best high school in the Franklin area?

You have two options: There is a private (Anglican) school located on The Valley Way called Burgmann Anglican School. It is K-12 and have a bit of a waiting list (http://www.burgmann.act.edu.au/). The government secondary school that is closest is Gungahlin College (http://www.gungahlincollege.act.edu.au/) offering years 11-12. It is run like a college and has vocational education as an option (it is also a campus for CIT). It is over capacity but is well resourced, certainly better resourced that government schools in other States or Territories. The only other options are further afield in other suburbs of Gungahlin (catering for years K-10) such as Amaroo School and Gold Creek School. I don't know of any others that are planned but given the growth rate of the Gungahlin area there will need to be some more built, although that will be some years away.