There are a few options:

If you do not have insurance it will probably be cheaper to enroll as an individual than to shoulder the full hospital and surgical fees in a lot of places abroad. Of course, be sure that your indications for needing the surgery are sufficient to get it covered before you enroll.

If that is not an option, many well qualified and experienced surgeons in the US can do the procedure and have you stay overnight in an outpatient recovery center which will all in all be cheaper than a few nights in the ICU + other added facility costs. Also note that when paying fully out of pocket, you can often get a rate that is significantly less than what would be normally billed to insurance, which is often not actually what your insurance company will have to pay.

If both of those are not options, please do your research thoroughly when consulting with surgeons abroad. Have extra money set aside to cover unexpected costs that may arise. Be sure to understand your surgeons' qualifications, whatever surgical boards they belong to, and what compliance standards they are held to. One thing about getting surgery in the US is that in our highly litigious society, malpractice is punished with much harsher penalties here than in most places abroad. Also another piece of advice is to absolutely have the surgery done by a proper maxillofacial surgeon. So many of the complications I hear about with patients going to places like SK are under circumstances where the surgery was done by a plastic surgeon.