More Airflow
In our Fire, Smoke and Fumes checklist we raise the cabin to ~9,500 ft to help evacuate smoke. With the same amount of conditioned bleed air coming in, but less psid to maintain, the outflow valves let more air out. We crank up the rate controller as well to make the change happen quickly.
So long as it's not the pack thats the source of the smoke, this works pretty well...