You might want to scroll through the suggestions that I received about my roll off beam warping. It starts with #2250331. There were a lot of good suggestions for options to use for replacing the beam.
With your situation, I would be concerned that any warping that you see today may get much worse as the summer wears on. If I was doing mine from scratch and had the distenace to span that you do, I think that I would make my own laminate beam.