***UPDATE 7/13/10***
GOOD NEWS EVERYONE!

THIS THREAD ON THE BIOWARE FORUMS HAS DETAILED INFORMATION ON HOW TO MODIFY SAVE GAMES FOR THE XBOX360 (clicky!)

Please note that I haven't done this, so please don't ask me questions about how it works, please read the thread linked to, and if you don't find an answer, then post in the thread.
You will need gibbed's savegame editor (which you can get on our MOD LIST page!)

After doing some research, it looks like hosting Xbox 360 saves is a great way for Microsoft to demand your site get shut down. Unless I hear from Microsoft that it's Okay to host saves, I won't be hosting them myself. Sorry 360 users. I, too, have a 360 and love it, but I love my website even more.

As a disclaimer, I can't be held responsible to what Microsoft or Bioware may do if you modify your save and they don't like it. That thread has been up awhile, though, so it looks like it might be okay! :)