Beyond OOS considerations, whether you are male or female could be important. W&M recently accepted 42% of male applicants, but substantially less, 32%, of females who applied. Based on your excellent academic record, your chances might still be quite good, however, even if female. Your greater concern would seem to be financial aid. Why not consider some well-funded private colleges? You could apply freely on this basis, with good prospects at a range of schools, including those with even lower acceptance rates, should you so choose.