Hi Ollien,
After a botched surgery I'm now in the same situation - a crooked jaw and midline. I consulted other surgeons (I'm in US) and since I already had a jaw surgery, most of them are reluctant to do another one, so probably I may (and have to) go with genioplasty. Here're some points I got after numerous consultations.
1) Genioplasty can correct chin/front jaw asymmetry, but it will NOT change your bite, teeth, TMJ and tooth midline.
2) Genioplasty is cheaper than a Sagital Split Osteotomy
3) Genioplasty is less risky (in terms of potential nerve damage) than jaw surgery
I've never heard about rotational genioplasty but surgeons around here told me it can be rotated.
If possible and if you're comfortable, can I see your pic with your nose straight and chin a little bit up? And/or can I see your bite (open mouth and bite down the teeth together)? Of course you can still cover everything else in the pic.