With a budget of 450K you have several possibilities. Somerset County has many school systems that are ranked well on websites like www.greatschools.net or www.psk12.com to find out about the schools. How many bedrooms and what size property are you looking for? Some popular areas are Hillsborough, Montgomery and Bridgewater.
I'd be happy to discuss what currently available in this area if you're interested.
ERA Statewide Realty
Office: (908) 874-7797, ext 519