Only thing you need to consider is the flow of the exhaust gasses after they exit.
Let me relate a story, While mudding a truck got stuck, he was the fifth guy that got stuck and we were working on getting the other trucks out( it was dark and early October). So a little cool outside. He left his truck idleing with his wife and 4 yr old girl in the truck no big deal.
His exhaust was cut just after the mufflers the combination of being stuck and having a full bed the carbon monoxide built up under the truck. We were slogging over to another truck with the strap and his wife starts screaming, their little girl had quit breathing. We gave her CPR and she started breathing again. She was fine and so was his wife.
With your lack of bed you should be fine, mine dumps about a foot behind the cab and I have been fine but unless your exhaust is all the way behind the truck, if you are stuck in sand or mud to the point where there is not much airlow under your truck keep your windows down while idleing.