IBM Model F DIN connector repair

I have two Model F keyboards (original PC or XT) that have gone bad due to an intermittent connection in the DIN connector. I'm not sure how these were originally assembled, but in the mode of failure that I have the pins (embedded in the round black plastic that spaces them) come out of the rubber sleeve. Pressing tightly restores connection for a little bit, but it is not really usable that way. Finding the DIN plug is not a problem. But I really don't want to hack off the end of the cable with the nice molded IBM plug. These are not museum pieces, but I'd like the repair to be unobtrusive. Has anybody else run into this problem and attempted a fix? I'm also open to just replacing the cord entirely, but I doubt that there is a surplus of originals laying around anywhere. Mike