The NJT on line schedules have been whack for a while. I do at least two long weekend tours to S. Jersey every year. They end by riding to AC and taking the train back to Philly. Bikes are allowed on all AC trains. The normal NJT holiday restrictions don’t even apply to the AC line.
One issue you might face is other people having the same idea. The conductor has the power to limit the number of bikes on the train. The service is very popular, especially during summer and especially on Sundays as people head home from weekends in AC.
I am surprised that this ride does not offer transportation for you and your bike back to the start.
EDIT: Read the FAQs. You can purchase return transportation back to the start for $10. Having done volunteer work for the huge MS ride to the shore, I think they need to make this option obvious.
https://www.fbbcf.org/index.cfm?fuse...s.page&id=1034