If you are taking DME to the CR, you should be there by 11am-ish....most likely a bit sooner, but plan on it being 90 mins from gate to resort. Then, if your room is ready, you can get settled in and then head to AK. If it's not ready (and it may very well not be) you can leave your carryon bags with Bell Services and head to AK then.
Plan on about 45 mins from CR to AK....bus wait time, actual travel time on the bus and then getting through front gates and bag check.