I have not done one, nor do I have a pattern so I may not be the best person for this. But does there have to be a specific order that they go in. I would just keep the state with the state bird, then either lay them out in one of two different arrangements. One would be to alphabetize them and the other one would be in the order that they were created as states. I guess if you want a third option, then lay them out how ever you think they look good together.
Can not wait to see how it turns out.