You can't recruit Hai units because the Royal Kingdom of Hayasdan doesn't exist yet by 272. There only are a few caucasian tribes under the controll of a dinasty of persian nobles.
Here's a guide about Hayasdans two reforms: click
Hayasdan is extremely fun if you're into cavalry, Archers and HAs, they're my second favorite faction (after Pahlava), but they're quiet difficult. Keep it up. (And never forget that nothing the AS can come up with can beat Caucasian Archers defending a stone walled Karkathiokerta.)
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