Take the tours, read the materials, meet the future fellow students and teachers and apply only where she feels she would be comfortable. If the higher SSAT schools strike her as too formal, kids are jerks, cold or impersonal, too hard, rundown, ugly, too strict, too far from home, bad food, whatever her reason is that makes them unappealing, then it is not likely that she is going to excel there. Figure out where she thinks she belongs and apply to those schools. Worst case, your result is a happy, well-settled daughter who ends up with a big-fish-in-a-small-pond kind of situation and she ends up top of her class in a place she loves.