A BSSO only is the one thing we can be sure you can't do. Your bite fit together, any way you move only the mandible will get it wrong. So if you want to do something it would either be a genio, or a full bimax. A genio is a "simple" procedure, compared to a bimax which literally detatches everything and try to put it back in a good way. There are also options like implants etc.
Messing with the bite, if you don't have any indication to do it can start problems. Bitewise you don't have any problems, the other part is airways which also can be meassured. If these are also ok, don't get into full jaw surgery.