We have a similar strategy as you except for looking for full rides at top 10-25 schools. Those schools seem like a real long shot just for admission, I am not sure what an applicant would need to bring to the table to get a full ride.
I am finding the all the state schools in Florida look at basically the same metrics, it is just the level of applicants they accept that creates the selectivity, The private elites value different criteria; SAT II, different EC, LOR, etc.
Is it really worth the effort to create what is essentially a different profile to try to appeal to a higher tier of schools in the hopes of hitting the jackpot?