Back in the day, when I was 13 years old I had a plantars wart in/on the ball off my right foot. (I just had to think about it and I knew exactly which foot) Weekly, I would go to the Dr office and he would apply liquid nitrogen - hurt like heck. Then he would apply a black tar like substance. Eventually it went away and the crater in the ball of my foot went away.
I am sure there are more advanced ways to do away with them, but I have to tell you, I got my own private shower for PE in high school and in jr hi I did not even have to do PE because of it.
It was this time of year, my brother and I went with our grandma to get her house ready for Xmas at her house in the high desert (Pinyon Pines). My foot hurt so bad that I could not put on shoes, but there was snow at her house. I had to put on my galoshes - left foot with shoes and socksl, right foot with layer after layer of socks - to be able to go outside.
Good luck with your plantar warts - I am sure you can find a great treatment - a dematologist would be able to give you much more accurate advice.