You're not up the creek. You have a few options. What you have is a Metri-Pack Mixed Series connector (Sealed).
Of the options available, here'* what I would do.
Your local GM dealer (Service Department) will have a connector service kit. It looks like a fishing tackle box, but has several trays of connector terminals in it. Depending on the dealer, they may let you have a look through the trays and match the terminals (my local dealer did). They will usually charge you about $1.50/terminal. This is outrageously high, but in the quantity you need, not that big a deal. If you can get them, I'd recommend buying a couple of extras. Ideally, you need to crimp the new terminals on. The best way is to use a crimp tool, but if you don't have one you can use a small pair of pliers. Be sure to carefully solder the connection as well. While you're at it, I would suggest replacing the small rubber seals that you'll find on each of the wires. These are also in the connector service kit.
If the wires broke off, it seems to me that over time the heat has made them brittle. You may need to cut back a few inches to expose a clean, flexible conductor before doing the repair. Depending on how bad the wire is and how far back you have to cut off, you may need to splice in some new wires so you'll have enough length to reach the generator.
StingRay Bike w/cards in the spokes, Weeeeeee!