If it's truly a top school and a very competitive program you could get lucky with F1. I do know someone in your situation who did got the F1, but it was an Ivy league school for a Ph.D. program with full scholarship & fellowship. You could try.
However, I recommend asking the program if you can defer until next year. In a way, to start a program you have to be in the right mind frame and it could be a very big move (start classes, new home, moving in with your partner), plus having to go through AOS. It might be too much and distract from your studies.