"do I really need another gun?" Now that is a nasty thing to say or think. You should get a two gun penalty for the thought.
Keep the gun as you ordered it. The chokes you have will not make more than 5-10 yards difference in your effective range but will allow you to take larger birds or wild birds if you get the chance for longer, tougher shots. I am not real fond of a small bore that does not have a mod choke to give me the option of taking a 30-35 yard shot if I get the chance. It is easier to wait an extra second than it is to run after the birds to close the range by five or ten yards. Sometimes the second shot, at 30 plus yards, is needed to finish your shooting partners "lightly" hit bird. All of ours go down with the first shot so we have to play backup to lesser shooters. Just a thought.