So, what you've got here is a variation on pipe dream that's not any more challenging (though really, there's no way to make pipe dream challenging) but is more tedious to play. I think in this form the concept doesn't really work, but if you had more context and a larger game this were fitting into it could work. It's not fun in and of itself, but it'd be easy to mold into a larger theme so that it would be engaging instead.