Nevermind, I got GLX working, at least to the point where I can run glxgears.
Now I'm in the process of downloading the .run files for the SDK from NVIDIA, and will hopefully have some luck installing that. Of course, NVIDIA doesn't have special files for Tiny Core Linux, only Ubuntu, RedHat, and OpenSUSE. I'll have to give one of those a shot, and see how it works out.