The next logical letter in this progression would be 'e.' The pattern is taking every 3rd letter in reverse alphabetical order. So 3 letters before h would be e.
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According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -H-KKA-. That is, seven letter words with 2nd letter H and 4th letter K and 5th letter K and 6th letter A. In alphabetical order, they are: chukkar chukkas
kitsch
One such word is hooks.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern SH---K-R. That is, eight letter words with 1st letter S and 2nd letter H and 6th letter K and 8th letter R. In alphabetical order, they are: shrieker shrinker
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern -K-I-GHE-. That is, nine letter words with 2nd letter K and 4th letter I and 6th letter G and 7th letter H and 8th letter E. In alphabetical order, they are: skrieghed