Here's the method noone thought of:
Get a town of your own. You can even be a vassal of some faction; you don't have to be your own king if you don't want to.
In town menu, second page, find "Manage town". One of the choices is "Migrate population." Set that to "Mages". Pay the fee and 30 days later you can start recruiting golems as if you were at the Mageocracy faction AND your faction relations with your faction as modified by the relation with your town (think helping them recover from plagues, and the huge boosts in relations that choice gave) sets the type of golems you can recruit. Depending on your relations you then recruit up to several golems every 2 days, although this costs money. This is a series v156 feature.