I hope that, whatever surgery you are looking at, it will be successful and help you to get rid of the constant pain. Sorry, I don't have any experience with this kind of procedure.
I would not ever kill a mole. They might make some holes in your lawn, but they eat harmful grubs and insects that would otherwise destroy plants in your garden.
Moles are a protected species here in North Carolina because of their usefulness.
Maybe your husband would be willing to use a repellent instead, like castor oil.