According to your description, it is estimated that surgery is needed. We usually perform orthodontic tooth arrangement for about one year before operation, and then perform surgery after meeting the surgical requirements, and then perform orthodontic tooth arrangement for about one year after operation. So it may take about 2 years to treat. This is a formal orthognathic orthodontic treatment.
The specific surgical methods should be based on the degree of varus and cephalometric analysis, including subapical osteotomy, bilateral sagittal split, chin plasty and so on. It needs to be done under general anesthesia. No matter what kind of operation, the cost is generally between1-20,000. In addition, the cost of orthodontics needs 5-7 thousand.
I don't know where you come from, but I can recommend a suitable hospital for you if necessary. This combined treatment of orthognathic orthodontics is not suitable for plastic surgery hospitals. Should go to a regular stomatological hospital for treatment.
Please consult again if you have any questions.
I haven't heard of the kind of tool you mentioned. There is no such thing as magic in formal treatment. Otherwise, I don't have to say anything I told you before, hehe. However, in the course of treatment, mainly after surgery, headgear can be used to limit activities and assist fixation.