I would like to suggest having a deck of cards that could be played as tiles to the map layer. I've heard of several games that use a mechanic like this, and have an idea for a game I'd like to test that requires a tile deck for a map. It would essentially allow players to draw from the same limited deck, and place map tiles to fit as they "explore." With the current set up, the only workaround I can think of is to create a deck with corresponding numbers to the tiles, then place them myself as the DM, and allow the players to adjust from there. Aside from being a huge time saver for that clunky work around, the system could also have the option to color the frame of the player who played the card if the game required keeping track of something like that.