as the OP said, he/she screwed up. If the person tends to under or over steer while driving a truck, and a smaller f150 at that, then perhaps the OP needs to look at driving a different vehicle instead.
As for the ticket, unless the cop saw it they aren't suppose to write out a ticket for it.
For example, I could run a red light, drive up to the first cop I see and say to their face, "Hey I ran a red light back there."
Guess what is the most that cop can legally do? Tell me don't do it again and that's it.
Now are there asshat cops out there that are trying to screw over people because they are on power trips or looking to make a quota? Darn right there are. But all you have to do to prove your case is get the other guy to in the accident to testify as a witness that the cop was not there to witness to event. Presto, fine and ticket are gone.
What's even better is if the damage is minor enough, ask the person to settle this between yourselves without going through insurance and just pay the damages after taking it to somewhere to get fixed. Just get a copy of the receipt and a list of the damages being fixed though just incase. At which point you can in court just tell the judge the cop wasn't there to witness the event, you and the person you "hit" were just pulling over to the side of the road checking out your vehicles and thought it would be funny to tell a good joke about a fender bender to the cop. That neither of you thought the cop would take it serious. If you can be convincing you can get that cop in a LOT of trouble for not following procedures.