The Downtown Disney buses usually stop at TL. Taking that bus would be the quickest if you won't have a car and don't want to spring for a taxi.
If there isn't a bus from the AK to DD, I'd suggest you take a bus to either the AKL or the CBR and then transfer to the DD/TL bus. I am suggesting the AKL because it is very near to the AK and the CBR because it is on the way to DD. Going via the AKL would be quicker than going to CBR.
HTH.