HTC One X Boot Loop (Never modified device)

[Max Wolf]

It just started last night where it went on a boot loop for no apparent reason. I looked everywhere for an answer, but couldn't find one. I tried recovery, I tried charging, and I tried turning it off and back on. I can't remove the battery, so that's not a possible solution. I went to AT&T and was told I needed to factory reset the device, but there is valuable information I can't regain in any other method. Someone please help :c