Hmmmm...I'd pack them in a Lincoln Navigator...Whoops, sorry, just having a flashback to my Cubmaster days.<shudder>. If I was going with young (11-12) or inexperienced Scouts I'd be planning on going fairly slowly, which means a largish pack, say 6000ci or so.With some groups I've seen,7-10 miles a day can be a major undertaking-and that means a lot of consumables, for 5-7 days...a major undertaking.
If you have experienced Scouts, and and are in condition, you could go quite light and blast it in 2-2.5 days. For that,a 3-4000ci pack would do. The real determining factor will be your Scouts, just as much as the terrain and distance.
Its easy to plan for a fast trip, but your Scouts would have to want to do it that way and be capable of it. Otherwise everybody is going to have a bad time. And they won't want to repeat that...