Difficult to assess your chances because the key factors to transfer admissions are not included in any of your posts. Specifics matter. (Specific reason/reasons for transferring and specific reasons for wanting to attend any particular school.)
Nevertheless, apply and see which schools become an option for you to consider.
P.S. I do understand that you prefer schools with a larger student body. At just 1,900 students F&M is a small school with a mostly regional appeal.
65% of the applicants at F&M apply TO and the reported test scores of matriculated students is solid, but much lower than your SAT score & much lower than that of your target schools.
Retaking the SAT with the confidence that you can raise significantly your current 1500 SAT score is a good idea. While it may or may not help with respect to transfer admissions, it will likely be helpful to you in other ways.
The short version is that it is not difficult to understand your desire to transfer even though not stated in a clear and straightforward manner.