I'm going to throw a new idea out to you. Scrap the club level and food plan. Based on your additional information, I'd look into a 1BR at a DVC resort. You'll get a washer and dryer which will be priceless with a newborn. You'll have a full kitchen. You'll have a living room with a DVD player. You can put the baby down in the bedroom while the older kids are in the living room. No one will feel cramped or like they have to be quiet. The full kitchen will give you the opportunities to feed the kids when they wake up, without having to get dressed to go to breakfast.
The biggest drawback is that the only tub is a deep jetted soaking tub, so you'll have to wash the baby in the kitchen sink.
And did I mention that tub? Perfect for mom to relax after a long day.
I'd use my money that way. The most relaxing WDW trips we've had have been in villas. There's room to spread out, and you'll feel like you can really take your time int he morning, because breakfast is right there already.