If there was a sudden surplus of money in the community, isn't it pretty likely people would spend it immediately? Sure, some - maybe a lot initially - would go towards drugs and this would require some attention. However, whatever goods/services currently exist there wouldn't be enough to supply this new level of demand. That would then incentivize people to start offering competition for those goods/services or creating bespoke goods/services for their new customer base. For the people who do actually want to save up and leave, they may now have the means to do so.

Side rant: I don't think many people in this country grasp how expensive, time-consuming and anxiety-inducing moving is nowadays - especially longer distances or across states.