Tile Count Concerns

I'm attempting to design a game that is going to involve setting up tiles of varied shapes/sizes/types on a shared grid and then having players pull said tiles off to keep and build combos. Tiles currently do not exceed the size of 2 in by 3 in. Other components include a small game board and a group of 6 or so small tokens in 5 different colors for each player.

The game is currently intended for 2-5 players, over three rounds. Design goals are for it to be a light-to midweight play and am hoping to keep the cost of the game in a range appropriate for that.

With that in mind, what is a ballpark estimate for how many tiles I could feasibly have in the box before the price point moves out of the range I'd like?