Yeah, go for a softmod, if you have a friend with an xbox that can play backups, convince him to put the save on a memory card for you, and get hold of the one game you're using the save for (can be used with Mechwarrior, 007 or Splinter Cell), copy the save to your hard drive, attempt to use the save with the required game, then you get a menu and go ahead and install the softmod.
Now, if this isn't possible for you, and you still want a free method, there's hotswapping, this involves taking the top off your xbox, turning it on, then just before it boots into the MSDASH, take the hard drive IDE cable out and plug the xbox hard drive into your PC, then booting up a CD on your PC, and you have several options here, copy a savegame accross (I did that my first time) or use one of those softmod builders that'll format it directly onto the hard drive so there are no more steps.
Anyway, good luck!