With 5 people, you would need to rent a 1BR Villa via
DVC. The studio villas do not sleep 5 over age 8. The sleeping arrangement in that unit is a ing bed in the bedroom, and a double sofa bed and a chair bed in the living area. Depending on your travel party, three people on fold-out bedding may not appeal. However, a week's rental at $14pp for the period you cite would come in around $2800 even for a Standard View, and a bit more for Savannah View.
A Lodge Room at AKL that sleeps 5 would require you to book a Club Level Suite; this would have 2 Queen beds and a Queen sleeper sofa. Rack rate for June of this year is over $1000/night. I don't know that your
AAA discount is going to be able to get a week in Club Level at AKL in a room that sleeps 5 for similar cost as a DVC rental!
A DVC rental still gets Magic Bands, Magical Express, EMH, standard 180 booking for on-site ADRs. It is an on-site stay. You can add dining plan at the DVC contracted rate. You can buy discounted tickets through a third party (AAA,
Undercover Tourist) and achieve additional savings there.
The biggest drawback, per some, is that when you rent DVC there is generally a no cancel policy, whether you use an agency or an independent owner; this is based on owner use year for the points they are booking you with. You do not get daily mousekeeping. You DO get a full kitchen and an extra bathroom in an AKV 1BR.
You also have to pay up front. You will want to have your booking request in on July 3 for your dates to have the best chance of booking your preferred room type and dates.
David's DVC Rental (dvc-request.com) is a sponsor of the DIS and very reputable as a DVC rental broker.
Honestly, if you're confident of your dates, I would rent the DVC unit. Heck, you could rent a 2BR DVC unit at AKV for ~$3500, which covers roughly 3 days in a Lodge room that sleeps 5.
