Adjust the tablesaw blade height to some comfortable working height,
say an inch. Take a scrap of wood, say 8"x4" and attach it to your
miter fence such that it overlaps the blade a few inches. Run it
through the saw to make a kerf cut. Now you can clamp the pushstick
to this board, using the kerf cut as a guide, and when you run it
through the blade the cut goes where you placed the kerf cut. Kind of
like a vertical zero clearance fence.
Or buy a scroll saw ;-)