Outlawry and exile are good ways to get your adventurers out of their homeland. They might have killed someone in another community, angered their local leaders, or gotten too involved in politics – the way many Orlanthi deal with this is to outlaw the troublemakers for some period of time. The local community is no longer under any obligation to protect them, and the outlaws are free to adventure where they will.
Places to go? There are plenty of places that Sartarite outlaws tend to go:
New Pavis: Head out east to the frontiers of civilization. New Pavis works well for outlaws – they need to support themselves, or pledge themselves to a new leader (Argrath, the Garhounds, whoever). The Big Rubble awaits!
Nochet: The biggest city in the world doesn’t care if you are no longer protected by your hillbilly kin. Go to work for a rich merchant or priestesses, become a thief, or whatever.
Handra: Quite a few Sartarites came to Handra during the Lunar Occupation, and many remain there despite the Dragonrise. Like Nochet, but on a smaller scale.
Holy Country, Maniria, and Ralios: Sartarite mercenaries have plenty of opportunities here. Become a bodyguard or a fighter for some local ruler and get caught up in intrigue and war.
Talastar. Sartarite mercenaries and adventurers are welcomed here, especially if they are willing to fight against Chaos. Land and favor is available to those who are willing to settle as colonists at the edge of Dorastor.
Melib: There’s a Holy Country colony here that is always looking for mercenaries from Dragon Pass. Get caught up in weird adventures in Teshnos, Fethlon, or among the Amazons!
Jrustela. For the really adventurous or dangerously educated, flee to Crandess on a Vadeli ship and explore forbidden God Learner ruins!
As a GM, the main resources you need to run sessions in these places are the Guide to Glorantha and the Cults books. Remember, your adventurers are not locals – they are outlaws from Dragon Pass. Think the Greeks in Xenophon’s Anabasis or most of Robert E Howard’s Conan or Michael Moorcock’s Elric stories.