I repair these stairs quite often the best solution is to forget about the underneath support build up the top of the step areas with layers of fiberglass and a coring material in between these layers to stiffen the fiberglass. i prefer to use 1/16-1/8 travera core between laminates of 1.5 oz mat. I have fixed dozens of them in the 30+ yrs in the fiberglass industry.
Jason T. ( DBA almost anything fiberglass) feel free to contact me directly 727-364-7442