After many years, my 360 finally got the RRoD. At first, I was still able to get into it and play, but then it started to freeze up every once in a while. So, I decided to buy a new one. Before I set it up, I went onto my old 360, to copy off all the save games, downloads, profiles, etc.
Or, at least, I TRIED to do that.

Now, the RRoD comes up ALL the time, and I can't get into it. No big deal, I thought. I'll just take the hard drive out, copy it to my PC, copy it up to a USB, and then plug the USB into my new 360. I've already copied stuff from my old to a USB drive, which I then put onto the PC, so I know it works. Simple!
And I was wrong.

While backing up to the USB through the 360 gives me a nice folder with the data files in it, no such luck with plugging the hard drive directly into my PC. I can't even read it! So, I downloaded Xplorer 360 Extreme 2, hoping that would help. It didn't.

Oh, I can get the save games off, once I figured out how to find them, but I don't know how to get them onto the new 360.
I tried searching the forums before asking for help, so I wasn't duplicating anything, but I couldn't find anything. There were plenty of posts about it, but a lot involved FTPing to the new system, using other dashboards, etc. I don't want to fiddle with the 360 in any way, I just want to be able to get save games onto the new one.
Can someone tell me what I need to do? The old hard drive is currently attached to my PC. I have Xplorer 360 Extreme 2 installed. I have a USB drive that should be able to hold everything (it's 16GB, but I still had 7GB free on the 20GB drive before the system died, so that should be ok.) I'd like to get all the save games off, including some for a couple original XBOX titles I play, which I see in the Compatibility folder on Partition 3. But, if that's not able to be saved, that's ok.
Any help would be MUCH appreciated!! Thanks in advance!