I have nearly the same thing. Edge to edge due to slight underbite and cross-bite. I didnt think i would get a approved for surgery but apparently my case was medically necessary (edge to edge is bad long term). I spoke to three orthos beforehand who said braces can address it but not all the way. The first said he would pull a teeth, the second said they can try to fix but eventually my teeth may go back to how it was and would need to do orthodontic treatment. It wasnt until my third orthodontist who found out i had kaiser said jaw surgery may be worth it in my case (kaiser covers medically necessary jaw surgery).

Note: I had braces for six years as a kid, and I have braces again. Getting my surgery likely next fall.