I would take the AK bus, and then get on the AKL bus there. I like to head to the park that is closest to the resort I want to get to. But, that won't work if AK is closed.
So, head to Epcot, or DHS, and get on the AKL bus from there. You should figure on at least an hour.....possible wait for the park bus to come of about 15 mins, then ride to the park, then wait for the AKL bus to come..possibly another 15-20 mins.
Or, just take a cab.