Wow, I'm going to try the duct tape!
I have had Plantar warts off and on since junior high. I had many warts on both feet as a young teen-ager and my Mom took me to the doctor every two weeks for EVER, where the Dr. poked what I later believed to be salycilic acid into them with a toothpick (painful!) and then ripped off the dead skin at the next visit (ouch!). The only good that came of that was that my mom bought me a chocolate dipped ice cream cone after each visit. Now you can buy the salicylic acid over the counter, but that will also take forever if the wart is of any size at all. If you catch it early, it works much faster. I've also had them frozen (even more painful!!) and if they don't go deep enough, they come right back anyway.
They also go away by themselves. Really. I've had them disapear completely.
But right now I have one that I've had for about 12 years...I've lost track. We've come to a mutual agreement - it can live there as long as it doesn't spread - and it hasn't.