Most horses have that response to a whip on the hind quarters if they've never been taught anything else. It's just natural. You're trying to whip something and they're trying to hide it so you can't.
Try breaking the act of asking her to go forward into steps. First, lift your arm holding the lead up to shoulder level, pointing in the direction you want her to go. Pause a second, then cluck to her or what ever signal you want to use to say "go forward", pause a second, then lift your whip hand, pause, then swing the whip hand like you're going to tag her with it, but don't, then if she still hasn't responded, tag her with it, hard, but on the shoulder area. This should startle her enough to take a step or two in the direction you want her to go and that's all you want for now.. Just repeat until she starts recognizing the steps that happen before she gets tagged and will react quicker to avoid it. Finally all you'll have to do is raise your lead arm and she'll move off. You can worry about the circling and more advanced stuff later.
I know you're getting lots of conflicting advice. We all do things differently. Just do what ever works for you.
Heh... I like your advice broken down into the steps when she has stopped to face. Yes, open up the area in front of her by extending your line hand up and out, that will give her a place to move into... and I agree with the idea of applying the whip at the shoulder, on the idea that you want her to move away at the shoulder. I will sometimes, if they have gotten flustered and done the 'turn and face' thing, turn the whip around and prod them with the handle end at the shoulder or girth to get the same effect, while saying "MOVE OUT".