Take a monopod – not as bulky as a full blown tripod, but it’ll be an improvement over constant, jerky, handheld shots.
Everyone is absolutely right about filming lots and **LOTS** of footage. But just as importantly, IMHO, is remember to “cut till it bleeds” in the editing process. I don’t know if your scout leader gave you a required length for the video, but I find after 15 or20 minutes people will start looking at their watches unless they’re really enraptured.
FWIW, I shot over 2,000 photos and 3 hours of video on a recent trip to Italy. The end result was a twelve minute travelougue that was highly watchable and entertaining.
Oh yeah, finding some suitable background music is of critical importance too.
Good luck and happy shooting!