R, 119 bytes, score=24
Thanks to Dominic van Essen for spotting a bug.
cat('H',intToUtf8(nchar("\\#$%&*-./0124579:;<>?@ABCDEFGIJKLMNOPQRSVXYZ[]^_`bgjkmquvwxyz{|}~")+36),'llo, World!',sep="")
Robin Ryder
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