Hi! I feel like I know a good bit about this topic sense I have had 10 at once before during pregnancy, and then my 3 year old got a huge one last year. We got it frozen at the pediatric dermatologist (way better than a regular one), then it came back. So we went back and they tried this "immune therapy", which totally worked!!! My dermatologist never tried this on me, so I was really curious. They swabbed some non painful acid on her arm to get her body used to the therapy, and see if she had a reaction. Then a week later after her body warmed up to the acid, the prescribed "squaric acid" and we put it on the wart topically for a couple of weeks. It totally worked, and the wart never came back. What the immune therapy did was to teach the body that the wart is bad and to fight it off as any other virus. The body has a problem identifying warts as being a real threat. So after the treatment, the body kicks the warts butt. Its amazing!
On another note, if you dont' want to go to the dermatologist, I tried "apple cider vinegar". The first application stings a bit, but after that, its not so bad. Put the vinegar on the wart with a q-tip, then cover it with waterproof tape, so it doesn't dry out overnight. You can't let it get dried out at all! Hit me back if you need me to be more specific on any of this advice! Good luck!