Even there are just a few band 1A schools in the district, yr girl is band 1A in the same area. You apply those schools & can have a good chance. Of course, the competition is keen. It is the same in all band 1A schools. Go ahead & apply the ones you (& yr girl) like.
Personally, I would like to apply the band 1 schools in the same district in the 1st round.... because I can select the same schools I like in the lucky draw (Part B) again & I can have a higher chance to get in (no matter in 1st round or 2nd round). Right?!