There was talk of making some events on Sunday for religious reasons here in NJ and I can tell you that this year's NJ state championship is on a Sunday (February 12th) although for different reasons. I am sure that if you email Vincent Frascella, NJ FTC director, he may be able to help you come up with a way to attend the NJ State Championship, if you are willing to make the trek down to Newark, NJ. Warning though before you do get your hopes up, NJ has a very, very tight team list this year and this is the 2nd year we have required qualification to attend. He is very gracious though and I know he has allowed teams with unique situations (a team from Singapore last year comes to mind) attend. His email address is:
vincent.frascella@baesystems.com
Good luck and I hope you are able to compete in a state level competition somewhere!