Hi Brian,
I do not have a solution for you, but may be a good idea to try. Smoke is unburned carbon, so when the temperature is not hot enough or there is a lack of oxygen, carbon escapes as a smoke. Once a bunch of italians were making a pizza at work, and they have brought a hair dryer with them. They used it to blow air inside of the oven to provide an extra inflow of oxygen, and they barely had any smoke. Now, I would be careful with this, as blowing air would cause oven to heat up too quickly and it might cause problems. So, perhaps put less wood and use a blow dryer to get the fire started - see if this helps?
NB: Although my wife loves pizza, she was quite apprehensive with me using her hair dryer on one occasion.
Cheers!