Sam, you are a parent contemplating a MOVE of your family to increase, perhaps, your child's chances of receiving a nomination?
If you wanted Yale or Harvard, I'd say the entire state of South Dakota would gain you acceptance should you score > 1300 on the SAT.
I'm no genius, but I would strongly suggest your child become a STAR in high school: 4.0 or better GPA, Captain of the Sports Team, President of Senior Class, Owner of his own business, blah blah blah. Seems far easier than moving a high school junior. (My parents moved midway through my junior year of high school and I was mad at them for YEARS)
Also, as a reminder: while the SAs are indeed wonderful and desirable, the goal is to be an officer in the Air Force. USAFA is a means to that goal certainly, but not the only one, as thousands of AFROTC students can attest.