I hear you.
I would see what the testing says, and where she is academically. If she's in the range of gifted that the big school is used to seeing, it could be a great fit. If not... I grew up in a rural town and was obviously different from the other kids. Since they had to design a program for me, it was designed for ME. I thought it would be better for my kids to grow up in a district with more gifted kids - and socially, I don't regret it, but they feel they already know what gifted is and so my daughter's education was designed for somebody else.

If the big school is so close, maybe you could get together with the gifted kids in her grade for social purposes without switching schools, and get the best of both worlds.