Hmmmm, that seems a little weird to me that they wouldn't be able to send new docs until 7 days before your trip. Usually they can request another set to be sent right away, unless they are waiting for a check to clear or something (unlikely since you paid in January). I am pretty sure you could have your docs sent directly to the resort if you are worried you won't get them in time, which is what I would suggest you ask for if you haven't received them before you leave.
Just another thought though, there really isn't anything TOO critical in those documents, unless of course you have airfare or car rental vouchers, usually it is just your hotel voucher and "freebies" like the PH coupon and Sea Raycer coupon, but I know I am a worrier too, so I would feel better if I had papers in hand before I went. I would check with your TA again to see if they can get the docs sooner. It could be that the CM at Disney just didn't want to request a new set of docs or something, so maybe they will get a different response from someone else?
Good luck!
Meredith