There is one option in Winston-Salem, NC that might (or might not) meet your criteria. We have a few years before we decide on a HS, but I've heard some good reviews from those who have chosen Atkins here. It does have both sports you mentioned (although they don't win a lot of sports awards). It is not in the league of some of the schools mentioned across the country, but the school is primarily for Gifted Kids and offers some great Science and Technology options. Enrollment has been low (only about 350-400 kids when capacity is more like 1100). That is because it is located in the far eastern side of the county and the majority of kids in the HAG Elementary and Middle School Inclusive Programs live in the western part of the county. The kids there must choose a STEM major and finish at least 4 courses within that major. I don't know where you are in NC, but you may want to take a look in case it might be an option prior to your move. Here is their website:
http://www.wsfcs.k12.nc.us/Page/19792, for more info.
