H Miyako can do a lot of similar combos to F Miyako. I don't remember it offhand, but I think it involved doing stuff into 6aaa > 236b j.421b > more stuff > 236a > aircombo ending with j.421c? I dunno, I'd have to research to her optimum bnb. Look up early Japanese tourney videos to see a lot of H Miyako in action though.
Really though, she's basically a nerfed F Miyako. She loses F's 5b, ground elbows, and 22c. She only gains j.236 (basically useless), and a really good 2c (it's actually just F's 2b but with more active frames and knockdown). Not to put the hate on her or anything, but she's undoubtedly the weakest moon overall.
Question on your combos though, why don't you use 5bb at all? I don't really remember well, but I don't think it had relative proration or anything. It should just be free extra damage, right?