Medicaid is a tax payer funded health care insurance . Tax payers are not obligated to pay for your breast surgery. The best answer is- to get a good job, save the money and pay for it like every one else does.
I recommend that you focus on the anesthesia provider rather than the type of anesthesia. I insist on a board certified M.D. anesthesiologist to provide my patients' anesthesia care. Most of my patients undergo breast lift/implant surgery under LMA (laryngeal mask airway) anesthesia, but...
The best option if you really don't want to undergo surgery is to make an investment in excellent undergarments. See a qualified bra fitter. You would be amazed at the outcome you can find when the proper bra is selected and worn properly. Good luck.