I haven't weighed in on this because I'm not really an expert, and I've not bought or used any sunscreen lately. (Yeah, I know, I'm living dangerously.) I even have lots to learn about deciphering the ingredient labels! But I'd think the Vitamin E could be trouble. Is it at the top or bottom of the ingredient list? You might check around some more -- there has to be an oil-free variety.
Good luck on your search, and I hope you get past that stall in a hurry!