b40Ibis--you might try burning a wad of newspaper on top of the fuel immediately before you light the charcoal.
Burning the paper first puts a quick shot of heat up the flue, initiating a draft. Then when you light your charcoal, more of the smoke is likely to be drawn up the warm flue. Experiment with the amount of newspaper you need--a couple pages starts the draft up my woodstove chimney at home. Smokes something wicked otherwise, if I just light the tinder first.