Sorry for this terrible contribution up front- I end up using my hand... As soon as I stash it or put it down I end up taking it out or picking it up so I can vape.
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Don't worry, I'm in the same boat.
Haven't found a case option that beats simply carrying most of the time. If I'm mobile and I have to put the PV away, I put it in my pocket. If I'm stationary, it's either in my hand or on the nearest table/desk surface. If I'm in the car I place the PV in the little non-ashtray ashtray nook right in front of the gear shift. Where possible I try not to let the mouthpiece touch any foreign surface, but obviously I have to clean it often.