I tried searching around for why this might be happening, I can only assume I hit some stupid hotkey at some point and didn't realize it. My issue is that my model is only displaying as its vertices in Blender Render and in the 3d Full View. I can see the wireframe in Object mode. It renders fine in Cycles for some reason, and in edit mode, I can see all the faces and whatnot perfectly fine. It's not an issue with Maximum Draw Type, as that is set to "textured".
Render View and Object Mode
3D Full View in Object Mode
3D Full View in Edit Mode
Any help would be great! Sorry if this is a stupid question!