I got that much from your start post. I'm just trying to persuade you to do something different
What evil combo kills you with stuffy doll before turn 6 or so anyway? Don't you have more time than those 4.625 turns?
Look, I don't know you or your playgroup, but I'm afraid what you're planning to do will be perceived as childish. I'm not calling you childish (you're 46 and your posts are good), but take some distance and see how the others at the table might see it. You take a burn deck to a MP game just to pick on one guy. It's hard to judge if anyone takes offence, but one might. So the result could be that you're picked on by the whole table from now on. Take that into consideration. If you disguise your burn deck as a MP deck, it's easier to get away with. OTOH, you're being picked on by this guy time after time and no one seems to mind, so it could be the table consists of eediots. Besides, I'm an idiot as well, don't listen to me.
So, back to the deck. Wither is very good, and it helps to get rid of Stuffy doll. You need to figure out a way to deal damage to it though, because he's probably not dumb enough simply to block with it. Think Lure, Kasuri-Gama. I'm thinking of a combat trick that forces a card to block, or that lets you assign unblocked damage to creatures. Tower above is great, but not (completely) in color. Anyway, Boggart Ram Gang deserves a spot even without these tricks. Inescapable brute has the lure effect, but it sucks. When Stuffy doll is tapped it can't block anyway.
Or play sacrifice effects (skullclamp, goblin bombardment, blasting station) and threaten, grab the reins, word of seizing.
Ah, I just found a good one: Everlasting torment. Seems pretty good in a burn deck!