It'd be a bit complex, but why not spin the lens with a motor at high speed, like a clear view screen on a ship?

https://en.wikipedia.org/wiki/Clear_view_screen

Actually, maybe it would be simpler than I first thought:

1. Mount the lens using v-shaped rollers on the edges (three would be sufficient)

2. Along the edge of the lens, attach permanent magnets - a ring of magnets with alternating polarity, NSNSNS...

3. Coils along the edges (might even be able to do it with printed circuit coils) energized, interacting with the magnets to spin the lens.

Essentially, you're making the lens operate as the rotor of a high-speed brushless rotor. One could probably trivially implement a prototype of this using hardware store parts over the weekend.

In fact, this seems like such a simple solution, I wouldn't be surprised if there isn't a patent already out there describing it.

If not - consider this submission of mine "prior art" I guess - anybody at YC want to fund a startup? /lol