What sunblock are you using?
I suggest
Aubrey Organics for sensitive skin/children, and the
Aubrey Organics stick.
I use it at the beach in saltwater, and I can still see the stuff when I come out of the water.
I'm very pale too. Not redhead pale, but right next to that. You do have to rub it in (especially the stick). Helps to use another moisturizer first. Also helps to be hot and sweaty. But it works, and doesn't bother my skin.
Edit: TE has a lot of SPF clothing. Some by Canari, some by De Soto, others too. I use the Cool Wings more than anything to prevent sun exposure. If you do a search for SPF on the TE site, it will give you the best selection. (Hey Susan, that would be great under the Specialty menu!).