Will BSSO (Bilateral Sagittal Split Osteotomy) Give Enough Chin Projection and Good Profile? Or is Genioplasty Needed As Well?

The answer to your question can be determined before surgery through cephalometric analysis and soft tissue tracing which is a standard radiographic analysis technique for any type of orthognathic surgery. This visual assessment method considers facial changes from bony jaw movements down to the millimeter level.  

Kilokahn,

Without having the full picture of what your clinical presentation is, it is very hard to give you an answer. I state that you have "deep bite."  This may preclude you from having a BSSO. Typically patient that are undergoing orthognathic surgery, either one jaw or two jaw surgery, have an orthodontic evaluation. If the only deficiency is a small chin, my suggestion would be to do an implant, because its an easier process. If you are totally against a silicone implant, then a genioplasty is easily performed through a small intraoral incision.   Definitely need to consult with orthodontist and oral maxillofacial surgeon prior to making any decisions .