1 For those that live in a higher, populated metro area, the rabbit neutering cost can be anywhere from $175 to $475 due to the higher rent costs and cost of living.ut of every 1,000 rabbits that are neutered, approximately .1% have a mortality rate, and this is widely due to the anesthesia. The pricing for neutering is going to vary on a few different factors. 1  The low end for the surgery itself is going to cost anywhere from $100 to as much as $275.