I tore mine off with a bike rack and ended up replacing the entire bumper but I would suggest adding a brace like this one:
It's the 2X2 by 1/4" thick angle iron cut at an angle at the end.
As you can see, this bracket runs from under the main frame to under the bumper. It not only supports the bumper but more importantly, it keeps it from being able to rotate and tear away. This is a simple and cheap mod and you dont have to replace the entire bumper.
I've been running this for about 7 years and it is very sound.
Unfortunately it needs to be welded on but with a few hand tools you can make the part and just have a welder weld it on.