Italian name for “John Joseph”

My husband is the third. If we have a son, he’d be the fourth. We already have a Jay, JJ, John and Johnny in our family! On paper our son would be John Joseph, but what should we call him? I like Joey, but my husband doesn’t. Someone suggested Ivy (like IV the fourth), which I definitely don’t like. We both like Gianni and Giovanni. What do you think? Any other contenders or nicknames we’re not thinking of?