The Other Gilmore

What if Lorelai Gilmore had twin girls?

Frankie and Rory, fraternal twins with very little in common. Rory is quiet, Frankie is loud. Rory loves school, Frankie hates it. Rory is accepted to Chilton, Frankie didn't even apply.
With Frankie left to her own devices while Rory is off at Chilton, what pranks and shenanigans can she stir up in Stars Hollow? And will her dreams of leaving the sleepy town and pursuing dance come to fruition?

Disclaimer: I do not own any characters from Gilmore Girls. I only own Frankie and any other OC's.