NGL... I dunno why this was a card deck game. There was no deck-building aspect, so you have no way to influence the randomness... and even if you could, each level requires specific tiles to beat, so there would be no strategy in packing some tiles over others.
I think the game might need to be completely rethought. Like, have all the tiles on the board already, and you just need to re-arrange them to get the player's route. I think that would leave more room for smart puzzle solving without the player having to guess what was in their inventory beforehand?