Jack the ISO as high as you can get with acceptable noise and use a super-fast lens, like a 50/1.8. (A canon/Nikon version of said lens costs roughly $100)
On HM/POTC, you'll have to pan with your subject. Its not lit to the point where you can get faster than 1/15th or 1/30th of a second.
Generally, there is no hard and fast rule on dark rides where you move and the subject is stationary. Learn how to pan - Imagine sitting in a passenger seat of a car and you are trying to photograph something roadside. You'll have to pan the camera as you go by the object. Same thing as you are in HM. You are moving too fast to be able to freeze the action, no matter how good a camera you have and how fast a lens you have. Either way, the attraction just isn't lit well enough to be able to freeze it without panning your camera so the image appears stationary when you have a slow-ish shutter speed. Its a technique worth working on if you want to get a decent shot.
I'll average 200 or so shots on HM/POTC when i was there. Out of that, maybe 10 good shots a time, mainly on POTC. Anymore, i dont even try to get shots on HM.
Pooh is lit very well. IASW varies from scene to scene.