Honestly, only one way to find out. But there are options as far as sliding hitches and such that may reduce the chances of contact.
Also the contact is usually while pulling straight and going through a ditch, truck up trailer down, so some chances can be avoided.
If you really want to pull with your current truck and I don't see why you couldn't. Don't take it to a hitch store. Take your truck and your trailer to a body builder. They can figure out the angles and make custom brackets to make it work. It may cost some money, but what's $1000 vs buying another truck? And selling a short bed with a custom GN hitch is likely to fetch your money right back.
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