Unhappy Samsung S3 Boot Loop Data Recovery

I have re-flashed the phone with a stock version (I never did any flashing/rooting before this, but have on a previous phone so I know how). I would just factory reset, but I NEED the videos I recorded today. Is there a way to pull files without booting (I can get recovery and download modes, no option is available for mounting the USB connection like I have read about). It is not in developer mode, and I don't think it would matter if it was because I can't boot past app loading (to my belief). When I flashed the device, it loaded and started "upgrading android" upon completion is said starting apps and then rebooted. If I can't pull files can I remove 3rd party apps.