Zermatt is gorgeous indeed.
Disagree on the snow. True, Utah/Colorado are more consistent because the storms always come from the same direction. However, if you know and understand the weather in the alps, you can find the same quality snow pretty much always, with the added benefit of much larger terrain and no out-of-bounds. For example, the snow in St. Moritz is very similar to Colorado, and the snow in Chamonix, Engelberg or Andermatt is very similar to Utah/Wasatch. Those are sweet spots though, the alps have approx. 1000 resorts and 95% of them aren't nearly as consistent. Not saying one is better than the other, just saying the "by-and-large" statement doesn't hold if you know what you're doing. Just look at the Austria webisode from En Route and you know what I mean.
To answer the thread question. The most famous spot is St. Anton. Right next to it is Ischgl, which is equally sick, probably my favorite in Austria. Other powder-magnets are Kitzsteinhorn/Kaprun and Dachstein. During springtime you really need to keep an eye on the forecast if you want to find pow. Nevertheless it's the best time to go big mountain riding, you need to chase the pow a bit, but I've had epic powder days in May pretty much every year that I can remember.
Which town will you be staying in?