From a Craft perspective you have a good bit of room to wire up something. If you have to hit a button to fire up the air flow you could use the same switch to fire a small battery (18350) and RDA setup. How's your skills at small electronics? With a batter holder from Radio Shack and a mech mod replacement top piece you could set up a mini fog machine in there. As far as your fuel, e-juice is almost the same as fog juice, in terms of basic ingredients, just no need to make it thin. If the air pump already pulses the controller could be used to pulse fire an RDA and give you a good bit of fog. I suppose it all depends on your building skills.
If you want more fog from the current setup, my first thoughts are a 2 part system (yes like the Blu) that you could recharge the battery on and take apart the cart and replace the innards with new cotton and pure glycerin. Most rechargeable systems like this do come with 2 batteries, so setting up 2 cig-a-likes in there is very much an option.
From my perspective the big restraints are size and activation methods. If you can wrap your head around those you can and will improve your prop.
Anyone know if a "hot" coil on an RDA could ignite flash paper? Not saying I would go this route, but you have me thinking about 2 of my hobbies now. May as well put out my credentials here: I'm just an enthusiast when it comes to stage magic, I'm no where near pro, but I hope to be able to rock my daughter's 8th birthday party (this gives me 4 more years to practice). I know enough to get me in trouble and really appreciate things like Penn and Teller's Fool Us.
Good luck on making this work exactly how you want it to. If you ever get a video of a performance I would be thrilled to see it. Cheers!!