Backup help

I have an iPhone 4 running ios 5. The LCD connector is busted, as is the Home button. I have photos and videos that I would like to backup on my computer but there's a passcode on my phone. Without being able to see my screen I can't, for the life of me, get my phone to unlock. Is there any way to bypass the passcode WITHOUT using the home button? I don't need the phone any longer so I'm really not concerned with further damage to the phone unless it compromises the data on the it. Any help would be appreciated. Thanks!