I have a bukket and have used it quite effectively to smoke enhanced leaf, it produces a thick dense, harsh smoke. But you get it all in one go and BAM! haha... I resorted to throat spray to help with the harshness
Then I had the same idea as you, sorta... I used a "popper tube" if you will that I stuffed the end with chore boy copper mesh and stuck into a rubber stopped with a whole in it. I then melted some on and tried.. I just cant seem to get it to work right, I never get it all at once and it is still harsh when I get some. So I have aborted that mission.
Perhaps however, as you stated in your post, just stuff a mesh ball in the bowl. It would give it more surface area (compared to the popper tube) and be more likely to go all in one go. I will rig this up, give this a try soon (ok maybe not that "soon" but ya) and report back