I concur that heavy-duty aluminum foil should last many days and is really cheap and light. Maybe your windscreen is too tight and is in the flame itself.
A little stiff and sturdier: I don't know how high you need it, but several beer or soda cans could be seamed together for various diameters up to 4" high. Very, very cheap from the recycle bin.
Next sturdier: go to the hardware story and get aluminum, single-wall, rigid ductwork for clothes dryer vents. Available in 3" and 4" diameter, so you can easily make 3,4,6,7,8,9,10,11" diameters by combining them. Let's say you want 5" tall and 10" diameter. Get a 3" x 24" and a 4" x 24". Cut two 5" lengths of 3", cut one 5" length of 4". Clip them all together (they come with male and female seam joints on each edge). With a little practice, you can snap them apart for packing and snap them back together for use. That a few bicycle spokes or wire coat hanger sections and it could also be your pot stand.