You can think about it and try your state threads. Do any of your friends or family know anyone with chickens? I would be afraid to mix species with just a single chicken in case she would get picked on. One other adult chicken might fit with the new chicks next year. I'm sure that it will work...
How old is your last bird? I would do a search at the top of this page on your state thread, and check to see if anyone has 1 or 2 extra pullets they don't want to overwinter. Most people who raise chicks will have extras in the fall, and if they are like me, would gladly give you one or two. I...