Random discard is never a good idea unless you like to Gamble, but at least here the possibility to gain value from it is a little higher, so dig out your Tibalts that have been gathering dust in that binder of yours and sleeve em up
Some cards specifically care about you controlling permanents you dont own
Commissar Severina Raine, Myrel, Shield of Argive, and Alesha, Who Smiles at Death are fantastic with Reconnaissance since they must attack to trigger their abilities and may receive lethal damage from blockers
Simply challenge them with one of your cheap characters ( Gramma Tala Storyteller would be a good choice if paired with Sapphire ) and then play this card to Banish chosen character who was challenged this turn. Alternatively a nice little combo is to challenge an opposing character (making sure your own doesnt get banished in the process), playing Last Stand to finish your opponent off and then playing Rapunzel Gifted With Healing to heal the damage received to yourself while drawing cards to replenish your hand
Drag to the Roots With delirium enabled, this Golgari card is one of the best removal spells printed in recent years as far as spot removal goes