I know Pizza Express use trays (no holes), with sides. Being contracted to them I was able to chat with many chefs along the way. One in particular made a fantastic base, it surprising how just the formation of the base can make so much difference.
After doing the the whole spinning the dough thing, he formed the base but I remember he said the key was to push the dough into the corners (so to speak) thus creating a wall of dough around the sides of the tin. The pizza was then made up as per requirement and cooked in a pizza oven.
What you end up with is thin base with soft puffy edges. Best of both worlds in my opinion.
At home though, I have pizza trays with holes, only as much as I got them cheap in ASDA many moons ago. I've not had any problems with them though.