Not all half-Elves were given a choice. Only Earendil, Elwing and their children were able to choose their fates. As for all the other half-Elves, such as the Princes of Dol Amroth (one of their foremothers was Mithrellas, an Elf from Lorien), the rule seems to have been: if you have any Mannish blood, you share the fate of Men. Therefore, I think that the Orc-Men were all mortal.
Breeding Orcs with Men was not Saruman's invention though. Melkor had started it already in the First Age (HoME X), and Sauron did it probably in the Third Age as well - LotR says that all of Saruman's "inventions" came from Mordor.
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