Have you ever seen a gorilla wedding? As of yet, I have not.
Now, I am taking part in a business based around the concept of guerrilla weddings, called Gorilla Weddings (they don't actually wed gorillas, to my knowledge). Like guerrilla warfare, only much nicer, this wedding style descends on a location for one hour to have a ceremony and then hightails it outta Dodge. That's it. No frills, no large withdrawals from your bank account. Sweet, simple and affordable.
Gorilla Weddings is offering more than just the guerrilla-style wedding. However, this is the basis of their wedding approach.
You get an officiant (someone who can legally marry you), a photographer (pick me, obviously) and off you go. Read their website for more details about how to find a place, how many people you can/should bring, etc.
Take a look at the other two photographers also available on the website. Choose your favorite and book 'em (subliminal message "em" = "me" backwards). Have a look at my wedding gallery to see if it is a fit for you.