The multiple-day FVC competition idea is certainly an excelent one to help grow the gracious professionalism and inter-team bonding within the program. From what I've seen this year, especially at the Championship, many of the FVC teams who are new to the program (and have no previous FIRST experience) don't fully understand our gracious professionalism and "open" and friendly culture yet, and an idea such as this would only serve to strengthen the program.
Plus, a Friday-into-Saturday competition idea would be a good basis for a lot of
BattleCry-like team social activities, like FIRST Jeopardy/Family Feud, ice cream, movies, fun "driving competitions", human player challenges, and other games.