While you dont want to help your opponents, you can make sure to stay ahead by having a five-cost character sing the card for free, leaving your ink open to cast those new cards you just drew.
For just 3 mana and a 1/1 body on top of it, this gives any of blacks tutors a run for their money
Were still going to cover them here (loosely ranked from worst to best) so you know the best playable options available, but given the opportunity, leaning on another color and/or mana rocks when possible will usually yield better results outside of specific strategies
The back faces of cards with disturb have an ability that exiles them instead if they would be put into a graveyard from anywhere
Please let me know if additional photos or specific close-ups would help
Third, the escalate cost of discarding a card can actually be used to our advantage with cards like Scrapheap Scrounger or Prized Amalgam