I need to recover data from my AT&T LG Thrill Android Phone

Background:

My AT&T LG Thrill phone's battery died a couple of days ago because I forgot to charge it. When I charged the phone and tried to turn it on, it showed the LG logo followed by the dropping balls and the AT&T "Rethink Possible" screen. I then get a mesage that the Application Google Services Framework has crashed and the phone goes into a loop with the dropping balls showing again followed by "Rethink Possible" screen. This sequence repeats itself over and over and the phone does not get out of this loop.

I have been able to go into the recovery screen (both Safe Mode and the Android Recovery Service) and have cleared cache, etc. However, I DO NOT want to wipe user data and restore to factory settings as this will wipe all of my data (pictures, application data, etc).

Solution Needed:

I need a suggestion to a way of accessing my data so that I can back it up onto an SD card/computer. I DO NOT want to root the phone as this may void the warranty. What I'm looking for is a way of perhaps putting the original flash image on the micro SD card and then have the phone read that image. Or some other similar solution that will get the phone out of this loop and allow me to get to the data.