Can I mail GA S Corp 600s Tax Return if I have already e-filed Federal tax return?

I have already e-filed Federal return and it was accepted weeks ago. With all the delays in TT for the GA S Corp filings, I want to know if I can mail the state return or am I obligated to only e-file. Reading GA tax site it says if you make payments electronically or submit a Federal return by e-file you have to e-file the GA return. Anyone know how stringent this is?

Trying to avoid having to request an extension on state return when the only reason would be that TT doesn't have their system ready for e-file.