Actually...
What about "AirBnB for package delivery." I don't have this problem (UPS will leave stuff at my house if no one is home: they'll even put stuff inside one of the vehicles if it's raining or snowing), but it strikes me that "renting" out your house for the express purpose of letting UPS/FedEx/whatever drop off a package for someone who can't get packages delivered during the day might be a useful service.
Probably can't charge much per package, but if you're OK with random people showing up at your house to get packages, it might be a useful service.
And on another note, I just saw the first TV commercial for AirBnB. How long have those been running?