"I.e. the Ukrainian pronunciation of the Cyrillic letter г?"
"Is there any language where voiceless [h] and voiced [ɦ] form a phonological contrast?"
I cannot answer such a complicated question.
Anyway, this Chinese character meaning exorcism...
...may be even more complicated than biáng that we discussed a few years ago. The pronunciation is not given.
And what about this monster? It may not be a real character.
The only reference to it I was able to find was on the Uncyclopedia website, which is a website where you can: “Discover, share and add your best comedic writing!” So dhō is thus very probably just a recently invented character invented for fun...