I hope they get a replication code or sharing system in the game, even if post release, as that was a lot of fun finding people's Shepards online and tweaking them and stuff. A Saints Row or Sims 4 style system that lets you directly upload your creations to an online database for others to share and take into their own game would be best. No dealing with unwieldy strings of codes which likely wouldn't work here due to the much greater amount of variables in place.
QR codes could handle all that data better than ME style code strings, but I can't think of a good way to actually get that on a console not hooked up to the internet. You could take a picture of the QR code with a phone easily and upload it to your Keep, but if you're not hooked up to the internet that doesn't do much good and not everyone has a Kinect, let a lone a PS Camera.