After some close examination, I can see the woes this project presented you!  Especially packing them into such a small package.  But in the end you nailed it 😎  I played for about 45 minutes last night and it worked flawlessly.  A flip of the wrist stands all the numbers up and the tiles are big enough to easily flip them back down individually without accidentally catching the adjacent ones.  At first I thought that having the lid open to the side like it does was a little unusual but after playing, it's perfect that way.  I can roll the dice in the lid and flip the tiles with my right hand while holding the game with my left.  If the lid opened to the front, I think it would be more inclined to want to flop closed while held with one hand.  (Think of holding a book).  Just goes to show that thinking through a design thoroughly can be time consuming and create extra work but in the end, the attention to detail shows through in the final product!