The way to reduce smoke is to make an "indian" fire, instead of a "white-man" fire. The diference is this. The indian fire has the thick logs at the bottom, then the thinner twigs and on top the thinnest and the tinder. You then light the fire from the top, and the fire burns downwards with greatly reduced smoke. One more advantage is that you may start cooking very early, since the flame is all the time on top. If you put the thick bottom logs parallell to each other you may also have a fire without making a burnmark to the vegetation. I use to have this type of fire on top of the snow, and it never burns a hole even in the snow.
Otto