If you are feeling like you can't leave anything in your diaper, I'd say that limits your options. Diapers are for depositing waste and such. You're the best judge of your circumstances. I'd say if they are so restrictive that you can't safely clean up and dispose of a wet diaper, you probably shouldn't be wearing in that situation.
In an ideal situation, rubbing the front of a wet diaper is pretty enjoyable. Some need to be more hands on in order to finish things off but I haven't needed to. With a plastic backed diaper, this rhythmic action can be noisy/crinkly. Use your best judgment and maybe test a bit before you get too carried away when you're less likely to be thinking straight.