Perhaps misguided, but what's wrong with having kid that can throw with either hand? I coached a girl from age 9-12 who could throw equally well with both hands. She finally settled in as a lefty as a 12-y/o.
DS #1 writes left handed, and throws right-handed. DS #2 throws right-handed, and bats lefty.
DS #1 writes left handed, and throws right-handed. DS #2 throws right-handed, and bats lefty.