Just so the Anglophones know: in Italian this would be pronounced BEE-tcheh (so last "e" isn't pronounced as an "ee", but more as the "a" in "can"), so the pronunciation is a bit different from "bitchy". I still understand why you'd like to avoid any possible misunderstanding.
Some people have alluded to it, but since no one has actually just come out and said it so far, I will. To Anglophone ears, the Italian pronunciation "BEE-che" sounds too similar to the English word "bitchy", which is bound to cause problems in the playground. ;-P.
Dante's lover, who, in his Paradiso, led him to Heaven.
― Anonymous User 8/14/2009
3
There is a well-known chain of Italian restaurants named Bice, named after the founder, Beatrice.
― Anonymous User 2/3/2009
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Bice was hardly ever used as a given name. It is not really a short form, but more than anything a nickname for Beatrice. As a nickname it is very dated and typical of old women. The youngest Italian Beatrice are often called Bea (BEH-ah).