After you file

So since TurboTax has those states I'm assuming that they'll be adding Michigan at some point down the road. The states website doesn't have a spot to e-file only a list of different software. What should I do? I don't want to wait 2-3 months to get my refund. Missed a form in TurboTax and had to pay and already did but doing the form gives me $1,000 refund.