Maybe not quite what OP was imagining, but I was less focused on the extraction itself and more the destination: a network of safe, private residences you could flee to, then stay at until you've found a job and are ready to move into normal housing. Even better if they have psychological professionals on hand to help you deal with your trauma-- or hell, even staffers who'll help you get in touch with psychological professionals and other resources to help you get back on your feet would be a big plus.
As for the "extraction" itself, yeah, just going in guns blazing wouldn't work. It'd probably have to vary from client to client. Could be something as simple as venmoing you money for an uber. Or maybe you could work together with the staffers on some kind of skullduggery scheme-- like you say you're going out "grocery shopping", then there's a car waiting for you in the grocery store parking lot to take you to the shelters.
Honestly, even just having a friendly voice on the other side of the phone helping you figure out a plan to get out would be a huge help.