They have recently upped the resort charging limits. Value and Moderate resorts now have a limit of $1500 and Deluxe resorts have a limit of $2000 before putting the charge through to the credit card and starting over with a zero balance again.
We were at AoA in June and I had gift cards that I wanted to put towards my room charge balance. I went to the front desk on day 2 of our stay and we had already accrued a little over $500 in charges. I applied the gift cards along with the Disney reward dollars from our Disney Visa card. Then I told them to put through the balance of our charges on our Disney Visa so we would be starting with a zero balance the next day. During my conversation with the CM putting through those charges I found out that AoA now had a $1,500 charging limit but that the front desk ran reports twice a day and if people were at about 80% of the limit, they (the front desk) would put the charge through so that the guest wouldn't have charging privileges denied while in the parks (though it would only take a phone call to the front desk to fix that). Our next charge was put through on Day 5 of our trip and was for ~$800. We checked out 3 days later and a final charge was put through to our card that day.
We prefer to charge everything to the room. You can get a detailed printout of charges any time you want to by stopping at the front desk.