How can I e-file my NY tax return after mailing my Federal tax return?

I prepared both my Federal and NY State tax returns via turbo tax.  I printed and filed my NY tax return.  I planned to do the same for NY, but learned that if I prepare my NY tax return using software I am legally required to e-file. My profile shows both my Federal and State returns as "in progress" but Federal return is actually complete.  I need to file my State return, but TurboTax won't let me file my State return unless I "complete" and e-file my Federal tax return (which is not possible).