Hey
What rides do you consider can NOT have a camera due to excessive movement, jerk, etc.
I know it is possible to take pictures in Splash Mt, Thunder Mt RR, etc. but NOT o Rock n Roll Coaster, for instance.
You can carry your camera on any ride, period. You may get yelled at if you're actively taking photos when actually strapped in on Rock N Rollercoaster (I did last time, but did the same several previous trips with no issue.) I haven't had any problem taking photos during all of Expedition Everest, lots of people have taken photos on Space Mt, etc, etc.
If you do carry your camera on one of the more turbulent rides, you should definitely wrap the neck strap around your hand, or use a hand strap, or both - you don't want it flying out of your hand and hitting the guy behind you! His hard head may break your camera!