I have read where the best solution is to disturb the air flow through the poker burner.
Putting a tent on the burner can do that. Or partially blocking the air intake holes can do it.
Get a short length of metal tubing (K&S brass) that has an inner diameter slightly LESS than the outer diameter of the burner at the air intake holes. Cut off a short ring at an angle, such that one side is about 1/2 inch wide and the other is about 1/4 inch. Then cut through the ring at an angle so that it can be expaned slightly to slip over the burner at the air intakes and yet grip it tightly. Slide this ring partially over the holes so they are not all the same size. This will produce an uneven air flow and that disturbance will effectly break up the resonance of the tube (and as a side-effect, possibly improve the air/fuel mixing as it travels down the burner tube).
It does seem a waste to have to buy a whole 12-inch length of brass tube just to get a 1/2-inch ring, so if you can't think of a good use for the other 11.5 inches, you can substitute any other metal ring that can be slipped over the airhole to partially block them... any of several styles of Hose Clamp could work, or a ring for crimping PEX water pipe might work. It does need to be metal so as to withstand the heat in the area, but just about anything will do.