I am in Ohio!
As the information is very conflicting about whether or not you can drive on a foreign DL (since K1 is not technically a tourist visa and not technically an immigrant visa, it's murky waters), my husband opted not to drive at all until he was able to get his Ohio DL. I understand that may not be an option for you, so you may want to risk driving, because the bad news is that you cannot get an Ohio DL until you have your SSN and EAD, which will be strong enough evidence of legal presence and proof of address.
If you do choose to drive, you'll want to make sure you carry documentation of your legal presence such as your passport with your K1 visa, NOA when you file for AOS, etc.