Cyrillic vs. Latin representation

Nauradi's history includes a Cyrillic alphabet representation. It has the
sounds /g/, /h/, and /x/. Getting the /x/ is no problem, but how do I
represent the /h/ sound giving that I'm using the Cyrillic alphabet Г as
/g/. I know that Ukrainian uses Г to represent /h/ and other Slavic
languages represent /h/ with Х. What's a person to do that needs both
sounds?
Thanks in advance.
Scotto

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