This afternoon, we check the trap, and sure enough, he's caught.
We took him home, fed him, gave him some good, clean water, and made sure he was warm. He slept for several hours.
Now, however, he's panting and breathing in short, irregular breaths. He has a blue tint to his gums, too, so to be safe, we're taking him to a 24-hour animal hospital at the moment.
Has anyone else ever had issues like that with a dog, and did you ever find out what it was?
By the way, his name is Ivan.