I've seen so many people get turned away during my last 2 trips (and that included me!), that I wouldn't chance it anymore. I'd just make ADR's for TS restaurants.
Anyplace with characters is going to be full, all but Tony's Town Square and the new Skipper Cantina because Skipper Cantina isn't doing ADR's will most likely be filled in MK, Epcot usually the China place and the Moroccan one accepts walk ups. Everyplace was filled at DHS when I tried to walk up in early December this year but that was ok - it was a whim anyway for me.
Yak and Yeti in AK took me as a walkup at 2pm in early December and mid October.
You would probably have good luck at Resort TS Restaurants as long as they don't have characters or are the Wave at the Contemporary. You could have knocked me over with a feather when I was told they weren't accepting walk ups in mid October 2015.
Good luck!