While you still can't upload the scholarship donation receipt in TurboTax, the process of uploading it afterward to the state website was pretty straightforward. I filed on 3/8. By the morning of 3/13, I got an e-mail asking for the receipt with two options - upload a .pdf of the receipt online, or mail in a paper copy with a printout of the request. I uploaded the file on 3/13, and by 3/19, I received notice that my refund was approved for direct deposit.
If you haven't, you might want to set up an OHID account on the state tax website, Home - eServices (ohio.gov) That might be necessary to have the quick online submission option rather than having to wait for a letter in the mail and then mail it back. To me, the very short delay was worth the filing fee. If you file everything by paper, including the scholarship receipt, it could take several weeks to process.
