I don't know if this will help you or not, but I found it
here:
ANIMAL KINGDOM LODGE:
Magic Kingdom: 12 miles
Epcot: 8 miles
Hollywood Studios: 6 miles
Animal Kingdom: 2 miles
I've stayed at AKL twice and both times found the bus system to work well. Yes, it's a little further out, but I never felt annoyed by a long bus ride or anything. We've always gone in the summer and it felt good to sit down in the AC for a bit!
There are two stops at AKL - Kidani and Jambo. The pick up/drop off order when going to the parks is: Parks - Kidani - Jambo - Parks.
If you're going to DTD, the pick up/drop off order is: DTD - Jambo - Kidani - DTD.
By doing this you can ride the bus between Kidani and Jambo (if you're going to a different pool or restaurant that's located at the other building).
Hope that helps a little. We love AKV... only 109 days until our next trip home!