Dwarven Defender immediately comes to mind.
Arcane Archer is one of the obvious allowed choices. Assassin requires an evil alignment. Would rather see this not included. Same goes for Blackguard. For the same reasons as Paladin, I can't see a Divine Champion Kyoht.
That leaves Dragon Disciple, Harper Scout, Pale Master, Shadowdancer, Shifter and Weapon Master as well as the exclusive ALOE classes: Arcane Trickster, Duelist, Elemental Warrior, Eldritch Knight, Frenzied Berserker, Mystic Theurge, Stalker and Warpriest.
Dragon Disciple: Leaning towards out. Moreso because of the RP implications. A Kyoht with Dragon heritage?
Harper Scout: Fine. "The Harpers are a secret society. Members are dedicated to holding back evil, preserving knowledge and maintaining the balance between civilization and the wild. The Harper scout performs many duties including espionage, stealth and reporting information." I see no reason why the Harpers wouldn't recruit a kyoht.
Pale Master: ... No. Again, RP implications.
Shadowdancer: Eh. Would depend on backstory. Not ruling it out, but iffy for a prestige class.
Shifter: Unlike Aussie, I don't see a reason why a Kyoht couldn't shapeshift, presuming that the shaman can invoke the spirits of the forms he's changing into. Some shapes could be questionable though (Construct, Undead).
Weapon Master: Definitely in. The group's ranged attackers would be Arcane Archers. The melee attackers could be this class.
Arcane Trickster: Good story would be needed, but I wouldn't rule it out.
Duelist: Wouldn't rule Duelist out either. Foxes are quick and Duelist is all about reflexes.
Elemental Warrior: I don't know if this would fly. Imbuing weapons? I don't know. Will say 'maybe'.
Eldritch Knight: Another maybe.
Frenzied Berserker: If barbarian kyohts are allowed, so would this be.
Mystic Theurge: You'll need a REALLY good story to play a divine/arcane caster.
Stalker: "Stalkers are skilled hunters who use stealth and hit & fade tactics in the wilderness. Their martial skill is nearly the equal of the fighter, but they lack the latter's dedication to the craft of fighting. Stalkers have learnt to blend into the wilderness and by using stealth and hit and fade tactics gain extra damage through sneak attack damage. Stalker preferred weapons are Rapier, Short Sword, Kama or Dagger and also the use of long or short bows." I don't really need to confirm this one.
Warpriest: Again, this goes back to the cleric thing. It's possible, but it would be iffy.