I know people want to see this happen. I would too but it is extremely unlikely to ever happen.
It is more likely Stephen Jones will hire someone to manage football operations. Perhaps he will end up doing the same managing other areas of the franchise as well.
He knows he is not his father. It is unlikely he will continue to run the franchise according to all the cliff notes he has jotted down through the years. He is not nearly the salesman as his Pa and will be incapable to talking his way into the same type of lucrative deals, sponsorships, etc., that fell into his father's lap.
No one will ever see Stephen's CGI hips gyrating in a Papa Johns' pizza. It is not in him. He can barely sell stadium rodeo shows as entertainment.
It is more likely he will be a more hands-off owner. There is too much defective DNA in him to step completely out of the limelight.
He will never stop pretending to be just like his Daddy Dearest, which is why selling the team will not happen. All the kids are billionaires. Dude is (I guess) a chemical engineer. He became super-wealthy without doing any real work. Why the heck would he give it up the opportunity to make billions more doing the same after becoming head honcho?