basically take transportation anywhere else and get it there or walk to contemporary. It can be a great time to ride the ferry, monorail or smaller resort boat if you've never done it or interested in doing that during your visit. Many that dont' drive to disney have never done the ferry. closing at MK you'll pass the floating electric barge thing if you take a small boat to Wilderness lodge.
If I'm still peppy, I usually walk to contemporary and when i'm not and the ferry line isn't horrid, I take the ferry to TTC and sit down a lot. you will pass the ferry line to see it on your way to the walkway.
be careful when leaving, if your close to closing time, there will probably be a surge price for awhile. Contemporary is really handy if this happens and it has a/c, restrooms and you can look around while you wait for it to get to normal prices in 20-25 minutes. even 1.2x the rate is a huge difference in cost to take uber. 1.3x and the taxi might have been a better idea (also readily available at everywhere). 1.8 and higher and you'l be shocked what it'll cost to go even 20 minutes away.