You could ask your dr for other options, like tca which is some kind of burn-y acid, it tends to work for a lot of people. I eventually had to have mine lazered off, that was 6 years ago and I haven't had any signs yet aside from what I hope is a skin tag I just found.
I saw an Expert on HPV that removed mine. According to him, the reason why people have recorruences of warts is because they either freeze them, or acid on them, or leave them alone for too long. The best method to remove them is to have a fast removal. Meaning, get them cut off as soon as you see it. Why? Because the wart is the carrier of the virus particles. When you have the wart frozen or acid burnt, then it get injured and the virus spreads to surrounding areas of the skin. Hence why is very important to remove them as soon as they appear to prevent the wart particles from infecting surrounding areas causing more warts to pop up. If you do it surgically, then the wart is removed completely in one sitting and then all that follows is healing. The doctor must be good and know how to remove the base of the wart as well. During the healing time you can have sex at all and gotta monitor for any time of new growths in the area.