In your experience, are silicone nipple pads or bandaids thick enough to prevent "headlights"?

Good bra. I do not have personal experience. Many bras have extra padding in the nipple area to prevent the nipples from showing through clothing. I recommend you go to a specialty bra store and get fitted for the proper fitting bra. You should be fitted for a bra every 1-2 years. A good fitting bra with help from a certified fitter, will solve your problems.