Evernew has just such a setup for their double wall cup that is about this size. It comes with a gorgeous flexible lid that securely snaps onto the rim. The problem is that, perhaps due to differential expansion when holding liquids, there is a persistent dribble when in use.

Otherwise, it is a very fine, well insulated cup. Without the lid, you are encouraged to quaff your liquid and hit the trail. No dawdling around camp......