Passage of Persistance should just be get 7 wins and you get the adept. Losses don't hurt in anyway, and you don't have to do any card resetting until you get the adept. Once you get it, you reset and get another adept roll after 7 more wins. This would keep people in the playlist until they get their god roll and make the mode much healthier.
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This would not fix trials. Nothing can fix trials, because nothing can fix Destiny PvP. It was bad since day one. This would just make getting adepts easy. The whole point of trails is to get flawless. If you remove that, you might as well remove the playlist.