Your options are a little limited on site by the size of your group,
1) You can book more than one regular hotel room. The All Star is the cheapest on site, but this still may not work for your group make up.
2) You can book one of the cabins at Fort Wilderness. These do sleep 6, but again depending on ages/group make up it may not work. There is one double bed, a bunk bed ( sleeps 2) and a pull out double sofa bed in the living area. If you can work with this set up it's going to be your cheapest option for all of your group to be in one accommodation on site. If you strip this option down to it's absolute most basic , it is having a trailer for your room/board but that really isn't telling the full story. As with most things Disney, they do an excellent job on the themeing of the area and accommodations and everyone I know that has stayed in them has really enjoyed their stay there. Trailer park, it is not. Here's a link to some of the info on this option
http://www.dreamsunlimitedtravel.com/resorts/FortWilderness/rooms.htm
3) You could rent a 2 bedroom DVC Unit from Disney. This will sleep up to 8 people. This is a luxurious option, with a price to match. The make up of the unit would be a master bedroom with kingsizebed, ensuite bathroom with jacuzzi, walk in shower. 2nd bedroom has two queens (some have one queen and a pull out double sofabed depending on resort) and in the living room is a pull out double sofa. The unit also benefits from a fully equiped kitchen and washer/dryer. It will cost a lot more for the room, but if you use the kitchen for even just breakfasts (cereal,bagels,toast etc), chill beer/wine bought in the supermarket and to chill drinks to take to the parks it will probably save you close on $100 a day. Here's a link to information on this option
http://www.dreamsunlimitedtravel.com/resorts/OldKeyWest/rooms.htm
4) You could borrow points from a DVC member and get a 2 bedroom unit. Many DVC members will rent out points/bookings for their DVC (timeshare) units. You have to bear in mind this is a private transaction between you and the DVC member, if something were to go wrong, you have no comeback with Disney, you would have to persue it through civil courts. I haven't heardof any problems with this option, but it doesn't mean it hasnt happened in the past, nor does it mean it won't happen in the future. At that time of year, it's probably still going to be an expensive option, although not as expensive as booking through Disney. You can find a page on these boards, under DVC information where you can calculate the points cost of the unit and also a board where owners rent out their points. The current "going rate" is about $10 per point.
5) You could go off site in a hotel style accommodation. There are a number of timeshares and suite hotels that would accommodate your group. Vistana, Orange Lake Country club, Wyndham Palms, Celebration World resort and Marriotte all have timeshare units in the area, often they'll offer a discounted room rate if you're prepared to give up a morning of your vaca to sit through the presentation. Buenna Vista suites, Embassey suites and Hawthorn suites spring to mind immediately, but there are many more.
6) You can go off site and rent a private vacation home. There are many vacation homes in the area, but you would need to rent a car. Many of these are available for a price close to a moderate hotel. Many also have a private pool. You can rent through a local agent, one I have had many dealings with are Premier vacation homes and I have alsways been happy with their service
http://www.pr-vacation.com is their website so you can check out their offerings. The other option for renting a vacation home is to rent direct from an owner. IMHO this option is a little more rsiky as you don't necessarily have the fall back of a local company/point of reference if the home is not what you were expecting. Saying that it is usually the cheapest way to book a vacation home and many people use http:
www.vrbo.com when they go this route.
KayKey, while I understand your frustration at not being able to have a complete choice available to you, it is generally the families involved that choose to have larger families. The hotels have to balance keeping their costs for standard hotel rooms down to make them commercial, with the requirements of the greatest number of people. I hope you agree they have to set standards and limits at some level, commercial needs have lead that to being, generally, a hotel room that sleeps four people. As I believe I have shown above, there are a lot of options available for larger families, but they do require a little flexibility on behalf of the family.
If you feel America and the hotel industry here is "anti family" you should try travelling to Europe LOL, the standard hotel room is often two twin beds ( i.e. sleep two people only) or one double and you're charged close to double price is you want to have children in the room with you. The country/government doesn't decide on hotel set up and to an exptent the hotel companies don't either. Market forces dictate what is economically viable and what is not. There is enough demand for some hotel suite operations that offer larger accommodation, and in Orlando there is a thriving vacation home industry built upon the needs of larger families.
If you are prepared to look around at your options and be prepared to be flexible in your approach and choices, you might find it's possible to travel a lot more than you previously have.