Which state?
It probably depends on which states can do automatic bank transfers for payments rather than refunds. See what the options are for your state. And, isf you saved the print version of your return as a PDF you can go look at that to see if the correct boxes were filled in.
You can go back to Print your State tax if you need to save a PDF. Also, In the first couple pages there should be some kind of payment voucher you would put in an envelope with a check to mail. Don't need to print the whole tax return, just the page with the voucher.
In California we can pay online using the Cal FTB website even if you already sent in a return. Maybe you have something like that in your state.
I would feel safer paying online if you can. With so many tax offices shut down, who knows when they'd open your envelope and process the check. If you can pay online then you can see the transaction has completed and you have the bank transaction as proof too.
Also, if the state does do direct payment from the E-file then the state should automatically do the bank transfer within a week or two. You could wait to see if it shows up on your bank withdrawals then, if not try the online payment.
