The only problem you might have is with the temperatures. C. sterbai usually require a higher temper than the ones you already have.
Many corys are still wild caught and that's why it's so hard to find many of the species. The peppered, bronze and albinos you have are usually tank raised these days, but sometimes they can be found wild caught too.
As far as mixing wild caught and tank raised fish, it's never a problem.
IMHO, if I have a choice, I prefer wild caught to tank raised corys, and buy them whenever I can. Sometimes these fish might have come down with bacterial infections due to poor conditions encountered during transport, but even so, once they have recovered, they will be fine.