Nice idea, but it's been done.
The game was interesting, and I did like it, but it seemed too much like "Every day the same dream". Also, not putting a replay feature in works against you, seeing as how players won't be able to appriciate the game in it's fullness if they can't experiment with the other endings. In a nut shell, playing it only one time is a bit of a turn off, and puts this game at a disadvantage to other games that let you play as many times as you can stomach.