This is an interesting idea, but you'd need more FFM than Gary Player to make it work.
Consider that renting a private jet costs on the order of a thousand to fifteen hundred dollars an hour, minimum. Figure the minimum number of rental hours you'll need for whatever flight plan you have. Compare and contrast to the airmiles "cost" of a first-class ticket on that same flight plan. I'm guessing just to break even - and never mind the extra overhead - the airline would have to charge you several hundred thousand airmiles for a private jet charter of any consequence.
M