There are some small nations out there that could host such facilities-like Coldemere. However I would guess there would be substantial limits on their productive capacity, as well as logical constraints on their level of technological innovation. Given the USA's business environment, that might be good as well.
One I think would make sense for at least some Pirates is Brunei. Saudi and Yemen are the other two, but any naval infrastructure would have been scrutinized during the invasion of the murdering barbarians from In... errr the Asir incident.