I've tried by speeding up the zoom speed, but even the fastest isn't fast enough :( Anyway to trick it into going faster?

Either the 14x (older model) or the 16x (not the white16x) manual lens will give you blast zoom ability. There's a really awful cooking show called "red hot and ready" that uses this technique and it is the pinnacle of unviewable content. But, for a music video or similar requirement it would work well.

The manual lens idea is much better, but you could consider just zooming normally, then speeding up the footage in post. It's a cheap and easy solution, although the quality won't be the best.

Aren't servo lenses fun? The problem with speeding up the zoom is that the content will speed up as well, although this would only take just a second or two depending on how fast you want the zoom. A manual lens is definitely the way to go.