A " +1" to Mikekeswick's answer.
Wood specie is not responsible for set, directly. And all woods take set. excessive set is the result of a bad wood choice/design choice.
The USFS has an old website for their Center or Wood Anatomy Research, that has descriptions, uses, and test data on a lot of woods, domestic and tropical, but you have to learn to glean info from it. It lists things like S.G, modulus of elasticity, modulus of rupture, crush strength, etc.. and any vagaries woods might have, like the tendency to xeparate between growth rings when flexed, or if the dust is toxic.
Eventually, I came to find it most useful for sorting out the names of tropicals, because common names often have no meaning, really. About a zillion species are called "iron wood" because they are the hardest local tree, etc.. I did use it to find out what was related to what, and found that the locust family, worldwide has a lot of suitable woods. I also noticed trends, such as; woods that get used for certain things like carts, sports equipment, or tool handles are often very suitable for bows.