Under Florida sun I wrinkle up too!

I was going to suggest that you use an iron, but it sounds like you're already doing that.

The best way to keep covering from bubbling is to get it on right the first time. The surface must be DUST FREE. Just blowing or wiping doesn't help much. You should vacuum it with a brush attachment and then go over it with a tack cloth (Or a cloth with spray adhesive on it) to get as much dust off as possible - otherwise, the covering sticks to the dust and not the wood.

Another trick I like to do is after the final sanding, I mix white glue with water (Lots of water, only a little glue) spread it on, and let dry completely. This stiffens the fibers (Even raises some of them) and they can be sanded off nicely. It leaves a really smooth finish that dust comes off of more easily.

But regardless of which covering you use, or how good you put it on, Florida sun is a trial by fire