...but no, it was only a giant moth! I knew if I didn't take a picture of him, nobody would believe me.
He is a giant silk moth; Antheraea polyphemus is his name, and the wing span was easily 7 inches. (He is a he since he has the bushy antennae.) Although I have never seen one before, they are common in the Midwest.
Snooping around, I find plenty of symbolism for large black and white moths, but precious few listings for brown ones. I am choosing to see him as a good omen!