I think you should be able to work Full Time on Fall session , as you will be part time Student. As you have one class you will be considered part time student under certain circumstances(which is legal) and also should be allowed to work full time...

(double your cpt credits+ credit for one class = Full time student+full time fee)

i took ONE class and worked FULL TIME on my CPT on my last semester and became full time student but had to quit job after graduation bcoz my opt was starting after a month and i was not allowed to extend cpt after graduation. Good Luck, i dnt knw if these rules differ according to schools.