Hard tonneau covers and 5er hitch

I have an Extang tri-fold on an eight foot bed and have no problems towing when folded. There are clips that hold it in the open position. I would verify that your hitch pin placement is further rearward than one third of your bed length so that you pin box doesn't interfere with the cover. When my cover is folded, the stacked panels add about 2" of height over the bed rails. Not a problem towing but things can get a little close when backing tight up a hill. I still love the cover after five towing seasons with it.