You couldn't pay me to burn the nasty stuff. If you inhale that even a bit, you're in the hospital for a month, and more exposure means a longer stay or even death. If you're unlucky enough to survive a decent exposure, expect life-long lung problems. Count me out.
You could always try mulching over anything that you pluck out of the ground, and as long as the other plants are well-established, you're in the clear there.