I don’t have experience with schedules aside from a traditional 6-period schedule, but here are some discussions about non-traditional schedules. Maybe there are some insights in there that are applicable to your situation:
In terms of submitting the performance task, it’s technically possible to have your students create their Digital Portfolio accounts, do the PTs and submit them by the end of fall (I’m pretty sure they email you an access code in time for that). It just seems a bit uncomfortable to submit these crucial projects so far ahead of time. Your students can also continue working on the PTs outside of class as long as they submit by the 4/30 deadline. They’ll also need to enter their AP number into the website before they submit (and they won’t have that number until April most likely). It’ll be inconvenient not being able to provide guidance the few weeks before submission, but maybe you can continue communication/reminders over email or your classroom management system if that exists, or have students drop by outside of class for assistance with directions.