I don't have that particular burner myself, but I have seen a simple solution for making it somewhat safer and more stable. The fix that I saw was to place a BBQ grate between the burner and the kettle. The replacement grates can be bought at any of the big box stores. Another solution would be to weld some extensions to the current burner stand. A no-weld solution could be to drill through the upper rim of the stand and install some bolts long enough to extend beyond the bottom rim of the kettle. Half inch diameter bolts should be sufficient to support the kettle safely.