Another option is to explore JBS ( Junior BS ) now https://www.jbsa.org/page . They offer awesome SSAT prep, FA and expert SS guidance and placement. Plus- you will get some boarding experience under your belt. If you’d like to explore this option for next year ( 8th - VI Form ) , contact a JBS AO. Most will consider apps year round.
If you need FA for SS, you will need to add at least 10 more schools. I’m going by what a JBS Placement Head would tell you and it’s free! Consider the schools above your three Hail Mary schools. Remember: An open mind and solid research will be your key to success .
For ease, you can start here: http://talk.qa.collegeconfidential.com/prep-school-admissions/1545276-2013-14-hidden-gem-applicant-thread-p4.html
I have brought you to p4 because there are links to school websites but the entire thread is definitely worth reading. Also- consider adding single sex schools to your co-ed list. Why? Because it’s strategic and smart- plus they’re all amazing. If you’re a boy- don’t walk past Salisbury or AOF. If you’re a girl- your choices will seem endless and they’re all wonderful .
All the best and good luck! 