Oooh, boy, this hits home. We make frequent trips (live close) and just got back tonight after another overnighter and this is my biggest challenge right now. My 16 month old wants to RUN.
We love the hub grass, and spend lots of time there, but today he didn't want to just stay in the fenced area.
If the crowds are lower, we do okay at the tanks in the Seas. It was quite crowded yesterday, though, and became a problem.
The back part of Morocco used to be a great spot but a, um, popular picture spot has tons of people flocking back there now. There are some corners here and there you can find, though, like behind UK.
The area by Dumbo that used to have water features was a lifesaver a couple weeks ago. Very few people cut through there and he could run around, fairly contained and out of the way.
He could walk in some of the animal trails but they were pretty firm on keeping things moving (no lingering in some spots...) and that was hard for him.
When you get off Figment, you walk through that entire empty building so I let him roam there until he realized the ramp that everyone walks down to exit the building makes a really cool noise and he just wanted to run up and down it, which obviously wasn't doable. If your toddler doesn't discover the wonders of the ramp, there is some space to run.
With the lines extending so far into other spaces, it eliminated a lot of the dead space that offered up room to roam and makes it a challenge. We currently do very short stints in the parks because he simply can't sit in the stroller restrained for long.
Definitely following to see if others have found out of the way spots!