Wasteland 2: Director's Cut

After Fletcher escapes, we talk to his wife near the fields, then we talk to Robbie near the dining room. And we go to Fletcher's hideout. We clear the robots and mines (so that he doesn’t get blown up on the way back), talk to him, talk about the hostage and he agrees to return. We return to the city to the cage and watch the cutscene.
How to find out where Fletcher is hiding. We speak with the guard, if the bully’s high skill we find out the details, otherwise we will point out traces at the cage. Behind the cage where the tank is, we see a long line of footprints leading to the ventilation. To the right of the wife we ​​ask the NPC who passed by. We get a tip on two guys dressed as regulators. One is standing near the dining room, but he won’t tell anything and will rat out his accomplice. The second one stands at the water tower behind the cage and will give you an indication on the map where Fletcher is hiding.

See the How Rude achievement!