Cool concept but there is almost no player agency. It seems the dominant strategy is the most boring one, which is to wait by 1 or 2 holes and wait until you get the roll you need, which can take agonizingly long sometimes if you are unlucky. I would encourage you to mess with the rerolling to find a way to encourage the player to play the way you want them to instead of feeling forced to wait around until they get lucky.
Besides that, everything else in the game is really nicely done, so good job!