score:2
For what it's worth, we have reserved rooms at hotels along our route, and though rooms were available most places we looked, at least one was booked up and several places indicated that "There are only X rooms left" (where "X" was 2,3, or 4). Of course, those could simply be canned messages to drive a sense of urgency, but it did suggest that it wouldn't be a good idea to assume there would be rooms readily available.