Would I benefit more from a sliding genioplasty, chin and mandibular implants, or a rhino to balance jaw and chin?

If the goal is an overall improved lower facial third by augmentation than a complete jawline approach is what is needed. What type of changes and where along the jawline they need to be is the key to deterring what augmentation technique is best for you. The best overall effect is always achieved by a custom jawline implant that is designed just for your aesthetic needs before surgery. It is a more controlled jaw augmentation that provides a connected linear jawline look. Standard chin and jaw angle implants and/or sliding genioplasty with jaw angle implants all have a role to play but they are not used because they offer superior aesthetics. Their benefits are when only spot augmentations are desired and/or for their economic benefits.

The jawline should be your focus. A genioplasty and jawline augmentation would give you a well structured face and provide good support in aging as well. The 'nose' is a secondary feature once you have established a good lower face definition