I hear you, it's tough for a family of 5. Disney is actually pretty good, because there are decent options, albeit a bit more pricey. We stayed in the AoA suites last year and had a fantastic time. We loved the resort and felt the room was spacious and comfortable for us. This year we're trying out the Beach Club. They have rooms with two queens and a twin sized day bed. So do the Yacht Club, BWI, Poly, Contemporary, and Grand Floridian. The Wilderness Lodge has deluxe rooms that fit 6, but they are pricier due to being on the club level. The WL and AKL standard rooms only fit 4.
The moderates don't appeal to me much right now, but other families love them. The POR looks like a great resort, but with the ages of my kids I think we'd be too cramped. I think if you had 3 younger children it's a good choice. The Fort Wilderness cabins have more space, but I'm not an outdoorsy sort of person. I can see folks who love camping and nature would have a blast there. It looks beautiful.
I think all the Disney resorts provide a wonderful experience, no matter the level.
I've looked at other vacation possibilities (the Bahamas, Hawaii, Europe), and I've found the lack of room options to be a big problem. Either the maximum package is for 4 people, or you have to pay double the cost for that second room.
When the kids are older we'll consider two rooms, but right now with so few hotels guaranteeing connecting rooms we're staying away from that for now. The last thing I'd want is to have my husband and I have to split up with kids.