You need to draw the salt out somehow, soaking in extremely cold water may help, but it may re-hydrate them so you would need to treat them as uncured and eat immediately. Salt cod is normally soaked prior to using it but is then cooked, you may have to treat it like salt cod. Other ideas that I am making up on the spot are to pack them in rice to draw out moisture and salt, this could take a while though. How about packing them in sugar? you may end up with a very sweet less salty product which could taste completely divine or completely disgusting.
Curing is not an exact science... So it's not a sin to bin.
Great hams, from little acorns grow...