Hard to Find Art Internships

I've been having such a difficult time finding an internship for myself as a BFA major minoring in UX, compsci, and bio. I have so many skills to offer, but not much experience, which seems to turn companies off to letting me actually gain experience. Does anything have any suggestions?

What kind of internships are you looking for? If on the UX side, Femke's resources may be helpful to you!