"Strength" is an imprecise term, and usually means "breaking strength", i.e. the amount that you can load the part before it fractures. I think you mean "stiffness", i.e. the amount that the part will deflect for a given load.
Carbon fiber is renowned for having a way high modulus of stiffness, meaning the highest stiffness per unit volume, and it's lighter than glass. So I think if you used the same amount of carbon, weight for weight, as glass, then you would find that you had a stiffer part. Your binder (dope, epoxy, whatever) would have to be up to the task of holding things together.
None of which answers the question -- if some intrepid modeler out there were to take a number of different combinations of glass, carbon and maybe kevlar*, and dope, epoxy and maybe polyester, and experimented with making the lightest possible structure out of them with a balsa or foam core (vacuum bag?), then we could have enough apples-apples comparisons to actually make engineering decisions.
Until then, just build what floats your boat.
* probably not -- kevlar gives toughness, but not, to my knowledge, stiffness.