Cards like Isabella Madrigal, Caring Cultivator and Ming Lee, Giant Red Panda both interact with damage counters and healing, but The Madrigal Family only really offers high willpower and ink ramp, which isn't enough to offset the volume of other, more useful cards in this set
I'm not too well versed in burn sideboards so I won't give any suggestions here -- you can probably find plenty of good suggestions on google
Rhystic Study In theory, its possible that [c]Rhystic Study[/c] never draws you a card in a game of Magic, but then your opponents are greatly limiting their plays
Sculpting Steel
On the draw, Spell Snare helps prevent you from falling too far behind
Any enters or dies ability on one of your creatures, any activated ability from any source: its all fair game