Replace broken charger port on Samsung Flight?

I have a Samsung Flight from AT&T (model SGH-A797). It will no longer charge b/c the charger won't fit tightly into the port. I know it's the port b/c I tried another charger & have the same problem. At first if I pressed in the charger hard enough & held it (or wedged it) at a certain angle it would charge a little bit. Now, it won't charge at all. I can't afford to have the port replaced ($70+ if Samsung does it). Is there any way I can fix it myself? I don't even need the phone charged if I can retrieve the info off the "brains" of the computer so I can re-enter it into my new phone. Any help would be greatly appreciated!