Sorry, but I don't think there's any way. Although I'm not sure exactly what you mean. The way I read it, you could mean one of two things:
1. You want to rearrange the "shuffled" play order.
2. You want to rearrange the "normal" order while in shuffled playback mode.
If you want #1, you should probably do what I do and use Party Shuffle all the time. You can specify a source playlist for it, and it'll let you drag around your items however you like them. It's not quite the same (you could get the same song listed many times, for example), but I find it to be a good substitute.
Oh, and there is one more thing you can do: Send a request to Apple.