I just played a series of outdoor gigs in the Hamptons and not only did my fingers stick, my strings began to unravel!!!! I seemed to have forgotten when this happened before, about 10 years ago. Anyway, it was a reminder for me: Outdoor gigs by the water are not worth it unless they’re paying over $1000!
I would seriously consider using nylon strings then, at least for the summer season, and fresh coated gut strings. The only ones I can think of that would unravel are uncoated strings or really worn gut strings. Nylon strings also clean easily and should be less sticky. If you want that gut sound, just play lower on the strings with the same sharp attack and the nylon will sound just like gut.