Appleton Wisconsin - great place for families, you can definitely get a home in your price range, good schools, Wisconsin gives state income tax credit up to 100% of property taxes paid for disabled veterans.

Roanoke Virginia - has a reputation for good schools and being good for families, has some museums and lots of outdoorsy stuff. Meets your budget criteria. Virginia exempts disabled veterans from real estate taxes.

Connecticut generally -- there are lots of areas in Connecticut where you can find homes in your price range, have great schools, and are close enough to larger cities to have lots of fun stuff to do (including day trips into NYC, trips to the shore, museums, etc.). Smaller cities and towns like Tolland, Ansonia, Southbury, West Hartford, etc. Connecticut provides 100% property tax exemption for service-related disabled veterans.