Honestly I just really like the concept of burnt joker, so I wanted to come up with a few ideas to make discards more useful.
Arsonist Joker: Discards can contain +1 extra card.
The Heist: Discarded cards have a 1 in 6 chance of giving +2 dollars.
Bucket List: If discard contains [poker hand] gain +1 hand, poker hand changes on every played hand.
The Miner: Discarded stone cards lose their edition and permanently gain +10 mult.
Dumpster Fire: +0.05X mult per card discarded. Resets after boss blind.
Composter: Add +2 chips per discarded card.