Hi B.!
What you are asking for does not exist. Sorry! (You coming from prototype school?)
My best friend is a realtor, and she would tell you to move away from the naval base area. First of all, you're not going to find the schools you are wanting, and secondly, you're not going to find much in your budget. You MIGHT get lucky with a townhome, but you won't find a single family home at 200K.
VA Beach is nice, with my only complaint being heavy traffic. For the best schools in VA Beach, the Cox school district is the best, BUT you'll need to more than double your budget to 500K+.
Chesapeake is where we live, specificallly Great Bridge. GB has some of the best schools in Chesapeake, including middle and high schools. We're not far from VA 168 and I-64, and hubby is in a car pool that takes about 30 minutes each way. You'll be able to find plenty of bang for your buck, but at 200K, you might have a harder time. Like I said earlier, that will likely find you a townhome, not a single family home.
Suffolk is even further out, about 45 minutes. The schools are decent, and the housing prices are a little less.
Now, for the $20 questions: have you contacted a realtor and/or relocation specialist? What about applying for your mortgage? If you use Navy Federal, they have a list of preferred agents who are relo specialists, AND you can get closing cost rebates. PLEASE PM me before your house hunting trip!!!! This is a great time to purchase a home, but you really need to know the areas and some local facts.