My vote is most definitely to give him a chance!! You'd be completely amazed at how tough chickens are! I have two handicap chickens and I love them to death. They are super sweet and they bond to you because of all the special care they get. One of my chickens has completely deformed feet and she has to kinda hobble on her "knees" to get around. She's smaller than the rest of the chickens and she does get picked on sometimes but she's very tough and she always fights back. The other chickens are learning to not pick on her now.
So the question is whether or not you have the time, not whether or not the baby will live. As a youngster he'll require more time now but the older he gets and the more adjusted he gets, he should need less time.
Another question is about your flock. How big is your flock? Are they fairly mild or do you have less-friendly birds? I have a smaller flock and they're all mild mannered silkies.
If your flock is large and less-friendly, you'll have to watch him very closely to see how he is doing. If he's being picked on too much then you'll have to find another solution. From time to time I've brought chickens into the house to live for awhile when they're not feeling well or having trouble.
I keep them in a modified rabbit hutch which you can see here:
If you put the little guy in here by himself make sure you put in a stuffed animal in the cage and spend lots of time with him. When my Silkies were chicks I carried them around one at a time in my coat. They loved it and now as adults they still try to fit under my coat
So anyway, I vote to let the baby live. Too bad you aren't in Colorado, Id take put him in my flock if you didnt want to keep him