ConnectLax has data about school selectivity and admission rates; doesn't touch on academic quality. Here is the data on the five schools mentioned above:
Penn State - selectivity 3/10, admission rate 76% (this is the least selective school of the five)
Stony Brook - selectivity 9/10, admission rate 44%
Florida - selectivity 9/10, admission rate 37%
Lehigh - selectivity 9/10, admission rate 32%
Davidson - 10/10, admission rate 18%
I have no affiliation with any of these schools, but I have lived in North Carolina and know what an excellent reputation Davidson has and how difficult it is to get in. | 
