I did not notice a GCWR mentioned. I would imagine you are well under it. Worth knowing though. What you can pull is different than what you can carry. Your axles are not (as) loaded when towing.
I am using these large Rockstar mudflaps. ...But when the snow and rain flies, all that water/road debris/etc still has to go somewhere, and ultimately it will be on your car, the reason I just went enclosed.
Good luck with your setup! It should be just fine.