There are the new(?) alchohol based suncreens - I got some from Coles, goes under the name of a "Gel".
Compared to the normal suncreen for your face, it's awesome .. because the applicant is some kind of evaporating stuff (maybe the alcohol?) it doesn't run & drip in your eyes when it gets wet.
Zinc - I agree, great stuff, and a great tip I got from this forum was to use "wet ones", those wet towlet things to remove the zinc .. comes off in a single swipe!