DIY fountain out of clear vase?

I have a vase that I'd like to turn into a small water feature either inside or outside.

The vase itself is a little over a foot tall and about 6-8 inches wide. Although it's clear and pretty see-through, the design of it looks more like frozen water or melting ice (ripples and blobs sliding down the sides), the height of the top edge isn't even and what I like to call the "back" stands a good 3-4 inches above the "front".

I'd either like to somehow get clear tubing to inconspicuously cling to the back to provide a gentle flow of water so that it spills from the front lip (Ideally I'd like the illusion of the water simply melting out of the vase, but there's no way I can make an intake hole to get water from underneath, so the smoothest/gentlest flow from the top lip out of the clear tubing is my goal). OR to find a small mister/fogger that would create a mist that would over flow and spill over the front lip - This would require a battery operated one as the wires leading into the vase would be too obvious unless the fog was thick enough that I could actually have the wiring come over the front lip to be obscured by the mist. However most misters I've had experience with require shallow water (or something to sit on) and don't produce a strong enough mist, nor have I come across wireless ones.

Does anyone have any tips/recommendations? The end result being in/outdoors will depend on available options and costs...