If you are owed a refund, nobody cares when you file.

What you must do timely is *pay*.  

To be more precise, the penalty for late filing is a formula based on what you owe.  If you owe $0, the penalty is $0. Sadly the penalty does not go into negative numbers, so they won't pay you if they owe you!

After April 15, 2022, you forfeit a right to a  refund.

So focus on sending a payment to the state timely! You can use your stare's version of a Form 4868 as a payment coupon.

Postmark  in the mail is good enough.