Wish 6 people, you'd need a DVC unit that's 2 bedrooms. Even renting points, that's going to be more expensive than a cabin, family suite or 2 value rooms.
Free dining in June 2014 is highly unlikely. I would NOT count on that when budgetting.
With that many people, especially a blended family, I would highly recommend options that have 2 bathrooms. That rules out the cabins.
How do your 2 kids feel about sharing a bed (kids under 9 usually don't mind so that's why I'm asking about the older ones)? In the AoA suites, everybody will have to share a bed. In the All Star suites, two of the kids can have their own beds while the other two share. The All Star suites are also cheaper. Both AoA and AS have a queen size bed in the bedroom and 2 bathrooms along with a kitchenette.
With connecting rooms, you're not guaranteed that you'll get them. They'll try, but there's always a possiblity that you won't get them which will mean that you and DH will have to sleep in separate rooms. With connecting rooms at a value resort you'll also be either sharing a full sized bed with DH or sleeping in separate beds, the latter requiring your older kids to share a full sized bed.
I think that the only deluxe option that will fit you other than suites ($$$$) would be a deluxe room at BWI but even with a 30% discount that'll be a lot more expensive than a value suite or 2 rooms at a value resort. Though, it is club level and if your touring style allows for you to take advantage of the food in the club lounge then it may be worthwhile for a family of 6. Our touring and dining style is to eat a light breakfast in our room (when not staying club level we order grocieries), a big lunch in the park then splitting CS dinners at our resort so when we stay club level we get breakfast in the lounge and then the hot finger foods in the lounge in the evening is more than enough so basically we only need to buy lunch. We're talking about probably a $200 per night difference to stay in a deluxe room at BWI compared to a family suite (assuming 30% discount on deluxe and 20% on values) so if you're looking for a budget trip, this isn't the way to go as you can eat breakfast and light dinner much cheaper than that when going budget.
My short answer is that budget-wise I'd say go for the family suite at All Star Music. If you can afford the extra and your older kids are ok with sharing a bed then AoA IMO is worth the extra but only if you can afford the extra. ASMu suite is perfectly fine.