Interesting, that had never occurred to me! For me that's never felt like a problem, more just an attribute of the game in its end stage.
A part of what makes it interesting to me is that late in the game (when you have fewer and fewer open posts, and need more specific rolls), the decision to roll or stop becomes increasingly significant.
I actually enjoy weighing the odds of getting a roll that I need vs. the possibility of getting an unplayable roll (or one that I'd have to play but will reduce my score), and enjoy that those odds change as I get closer to the end of the game.