It seems you have made the right decision so I will just briefly add icing on the cake to ensure any lingering thoughts from the good-idea-fairy are put to death.
I just picked up my trailer from a fabricator yesterday because he was what? - welding a new custom hitch and bumper on the back of the camper. I had a very nice bike rack and two above average quality adult bike and an above average quality kids 20 inch mountain bike rack on the back of the trailer when we hit the wrong bump and ripped the bumper off and dragged the bikes. Fortunately, we were only a mile from out destination when it happened. We had been on the road for 500 miles when the wrong bump jumped up and got us.
The stock bumper welds held ripping two holes in the bumper each the size of a softball. The bike rack, spare and bumper stayed attached to the trailer because I rope cable locked the bikes to the trailer frame.
To fix this neat little disaster would have been 275 or so for the same stock bumper and then a who knows how much for labor to have it installed. At this point I would have been back in the same position I was in - weak bumper that would not support a bike rack. I paid 600 to have a custom hitch fabricated and new bumper built and attached. The fabricator warrantied his work to 500 pounds.
The point of this ramble is those bolt on hitches will get you through trips - mine did from Utah to Ohio via Texas and then Ohio to Maryland and then the wrong bump caused enough force on the bumper to rip it off.
DON'T DO IT