Hate to come off shitty and piss in your wheaties but I guess I'm feeling sparky this morning. Sounds like you should book a commercial trip. Its illegal to hire a guide for a private trip. Its illegal for them to even go for free. Private trips are a cost sharing adventure designed for people with gear and ability to run a trip. Read your permit.
Assuming at least you are competent and have rafted mutidays, why would you invite 11 people if you were the only one that could row a boat? If you wanted this to seem like a private trip you might have approached it by saying... Hey, I have a deso permit and we're looking for a few more boats for a family style trip. When you found interest you could ask them if they minded carrying a couple people. Pawning 6 people off on a private boater is a really big (and somewhat fishy) ask. If you did private trips I don't think you'd be asking that, which I guess is why I'm feeling a little put off.
Mission gravity, I like your reply about rowing a boat and telling them what to do. It could actually end up being pretty comical if they are good sports. That said, if you sign up for this you are looking for potential disaster (ignorance, incompetency,injuries, sickness, etc.). If you are paid you are committing a felony for not having an outfitter license and could have liability issues if there is a problem, not to mention the 50k fine. Rowing six people and all their shit down deso for a week could be a real shitshow especially if 11 out of 12 of them are clueless. Even if you avoid the felony, four whining kids and two bitchy parents on my boat for a week does not scream vacation.