Best Doctor for Mole Removal?

Dermatologists are experts in diagnosing and treating skin conditions and lesions, benign or malignant. A dermatologist specializes in skin surgery, including cosmetic removal of moles . That being said, all skin surgeons are not created equal. You need to see before and after pictures from your surgeon to get an idea of what their work usually looks like. Lastly, I recommend that for any mole you have removed it should be examined under the microscope to be certain it is benign whenever it is removed. Dermatologists will have this available in their office and are trained to read the slides for definitve diagnosis of the mole.

Dermatologists are the physicians most highly trained to address skin issues - from diagnosis of skin conditions to performing skin biopsies and skin surgery.
Sure, other specialists, such as surgeons, may do a good job at handling skin disorders, but without knowing more about the surgeon you visited, I would recommend that you follow the advice of the dermatologist.
The difference in price is quite large, so I am assuming that the surgeon intends to surgically excise the mole and repair it using sutures, rather than performing a simple biopsy, which is what it seems the dermatologist is planning on doing.
In a case like this, it may be helpful to visit the dermatologist again and ask him/her to review the treatment options for the mole, including the risks and benefits of each one, in addition to the price of each treatment.