I don't put any sunscreen on above my eyes when I am biking.......... between the sunglasses and the helmet, no sun really hits that area. Pure, straight sweat can also sting but I tend to wear a headband of some sort and it absorbs the sweat really well and prevents dripping in all but the hottest, most humid tropical weather and we DO have that here in Iowa during the summer. 90's in temp and humidity.
Anyway, there's another solution for you. Try whatever you thnk will work.

annie