If you think they'll come looking for you, leaving your car at the airport is a tip-off to them.
If your plan for avoiding your troubles includes "Escape to South America," you'd be best to not buy a round-trip ticket.
If you intend to make things better by apologizing you need to start with the wife you've betrayed. Apologizing to the mistress or blaming the media isn't going to make it better at the breakfast table.
If you're going to blather about the sanctity of marriage you need to start with your own.