How much does a plastic surgeons' insurance bill cost?

If you're talking about how much the surgeon bills to the insurance company, it depends on the type of surgery. Also on whether or not the procedure is covered by insurance.

For the most part, anything that is done strictly to improve appearances is NOT covered by insurance.

If something is needed to correct a deformity, or to repair a part of the body that was affected by disease or surgery, then that is more likely to be covered.