Tough one. Can you call the no-kill shelter (if there is one) and ask them for advise?
That's what I'm considering. I've wanted to give the neighborhood a chance to reply to the flyers, but it looks like that's not happening. So I may call the shelter whose number I found sometime later this week. Ms1995hoo doesn't want to trap it because she feels like it's just getting to trust us, although I pointed out it doesn't trust us at all because it always runs away!