You probably have prominence due to the mandible having a boney structure that projects your soft tissue. You would likely need to some kind of reduction genioplasty (boney chin surgery).
You would consult a plastic surgeon that does genioplasty as part of their practice or a maxillofacial...
Firstly, it is harder to give you the best advice without any pictures of your neck and chin. That being said, I would have recommended a genioplasty first. This procedure tightens and stretches the skin under the chin and jawline. Once that was healed, if you still wanted a neck lift, it could...
It should be possible, but it would be a large advancement; around 12mm. With a movement that big, we may end up using some bone grafts to help fill in the gap (we typically do not use any for under 10mm). It sounds like you have done some research which is good. You may also be a candidate for...