Sequoia Can't Really Tow Anything (Family of 6). Am I Right?

I would look into a popup trailer or maybe a hybrid. This Jayco has a dry weight of 2295 and a GVWR of 3375. That gives you 1080lbs of carrying capacity to play with before it hits the GVWR. Link to Jayco

Of course this all falls apart if the kids won't share a bed. I solved this kind of problem for years by putting the oldest and youngest on the queen bed and the middle kids get the fold down beds.