I'm not sure if this is the right approach. In other games you collect event currency and then you spend it in event shop for what you really want. You don't have to play some stupid kind of lottery to get something. Some may say we play the event for the main reward and the daily prizes are...
Best would be to remove the reshuffle from the board and give players control when they want to do the reshuffle. If Inno consider the chance 1:16 too high to get daily price in 1st click then the board can be extended to 4x5 or 5x5. But the daily price should be guaranteed if player spend...