Two years ago I picked up my wife at the airport (LGA) and had to show my license to get through security. I put my license into my shirt pocket (a very bad habit I have with credit cards and licenses), and the next day when we were flying off for easter I didn't have the ID.
The airline (Delta) had a specific policy on what to do if a government issued picture ID wasn't produced. It was even ont he signs in front of the counter. In that case I would need two non picture kinds of ID, one which had to be issued by a government body. The absolute only thing I was able to come up with was the state insurance card for the car, which meant a trip to the car and back (the registration for the car was in my wife's name, the insurance was for all of our cars, so both names were on it). It really wasn't a state issued certificate, but had the state seal on it because it was for a Connecticut car.
I never left the house again for the airport without checking for the ID, and wouldn't even consider it now.
Do what yo ucan to get either a license or one of the "of age" cards for people who don't drive, whatever is available in your state quickly.
Lucky for us, a replacement license takes only a few minutes here.