I think the thing to keep in mind with Dudley is that while the final plunge into the exploding shack looks like a gusher it can be little more than a refresher sometimes.
The one to watch out for is the very first drop. It's small and out of sight (actually, it cuts through the queue area) but more than a few times after the drop it's created a wave of water that drenches you from the rims of the boat. So keep an eye on your shoes if you don't want to get them soaked at that point.
I've never considered Jurassic Park much of a wet ride -- though, one in awhile, it gets back at me for saying just that.
But that's it. One Fish, Two Fish does have water shooting at you but it's in such small amounts that it dries off as soon as you're done.
But, if you don't want to get wet, respect the fountain in front of Sindbad.