Some special characters allow you to circumvent the drying process, but these characters will have this ability stated on their cards
They include Vault Door, which gives extra staying power to your locations and the characters stationed there, along with the Sumerian Talisman item, which lets you draw a card when one of your characters gets banished
If Triple Triad always allowed you to play both exiled cards, it might have been somewhat reasonable
Just like We Could Be Immortals, its another Big Hero 6 card which takes advantage of the Inventor subtype
Final Fantasy wiki A Sneak Peek at Magic: The Gathering FINAL FANTASY (Video)
As for Standard-viable cards, I could see Cloud, Midgar Mercenary maybe getting some play, since it has a low cost and can tutor for useful tools