If I owned a Mini Provari, I would get a nice custom-made leather
flexi-sleeve lanyard from
SerenityGear Leather. Much more pratical for when out-and-about than a case. I'd feel much more confident of not misplacing a $300 investment in a case by wearing it around my neck. A lanyarded mod can be put inside a shirt or blouse if you wish to remain inconspicuous.
The Alsmoke BB is about the same size of a Mini Provari, and I got one as seen below. They can be customized any way you want, from textured leather to custom colored leather.
Some examples of sleeves that could be lanyarded for the Mini Provari here:
SerenityGear Leather - Specials
Other than that, the eGo carrying cases are popular, allowing room for extra batteries, extra juice bottles or juice carrying devices. I have one from Smokeless Image, whose webbed pockets open the same on both sides of the case (unlike most eGo cases). My concern would be, does the ZAP leak juice when laid on it's side?
Smokeless Image | The Best Electronic Cigarette

I also found a case with elastic bands that can hold up to 8 smaller-sized cartotanks from Hobby Lobby.
8-Piece Mini Tool Set with Case | Shop Hobby Lobby
That tank case and the Smokeless Image X2 case are carried in a converted Swiss Gear mini-lap top bag to become my shoulder-stapped vape bag.

