Joining the swing dancing club at my college did more for my social skills/life and romantic opportunities then any other single choice in my life. Swing dancers as a culture tend to be open, friendly, and lacking in personal space boundaries. If you have a club in your area, go to lessons and go to social dances until you start getting complimented on your dancing. Work at becoming a good dancer. I assume you have already read advice on how to make small talk, which is all you need while dancing. Once you become a proficient dancer, girls will start flirting with you. This is just a thing among swing dancers: good dancer = attractive. Provided you aren't creepy (again, I will assume you've read enough to prevent this) you will find dancers an incredibly accepting group.

Tl;dr swing dancing clubs are an excellent way to meet people without having to maintain long conversations.