Fortunately it looks like I did find a tenant. He paid me a nonrefundable deposit and is supposed to sign a lease and pay for the first month today. He even paid $50 toward the first month's rent when I was unable to make change for him, so I feel good about this one becoming the next tenant.
I don't know why I dislike the tenant search process so much. Maybe it's the anxiety of having an empty home and the desire to get it rented as fast as possible.