Backup ALL show files to USB or Network

Is there any fast way to backup all (non.gz) show files or send an entire backup somewhere like on the MA? I have a bunch of clients that I need to upgrade and its literally an hour or so opening a show file, backup, exit, repeat. Not everyone keeps a daily backup, so just to be sure, I need to take everything. I'd love some simpler way of making this solution work.

I have tried literally just dragging show files and we all know how that turned out. Works fine for GZ files, but seems hit or miss with non-compressed versions.