OK guys - here's an actual Disney question....(sorry for going back to on-topic for once..

)
On our next trip (in 7 days

) we're staying offsite. DW and I are thinking we are going to want to take afternoon breaks so our DD's can get some rest and we can escape the heat for a while.
But, in talking, we realized taking a break on our MK days might be a little cumbersome with the fact that we have to jump on a monorail or ferry just to get to our car and then drive 20 min to our condo.
Is there anywhere near MK that we could go to for some A/C and a relatively quite place for my DD's to nap for a little while?
My only thought was the contemporary 2nd floor area. It always seemed to be rather quiet.
Any other thoughts?