We can choose existing options based on OOC knowledge of likely outcomes, e.g.: choosing to run away to Iroh rather than burn Zuko, or choosing to escape rather than burn down orphanages, or whatever.
In other words: Akane doesn't need to have a plan for us to have a plan, she just needs to have a reason to consider the option. We don't have to be shooting from the hip just because Akane is.
Running to Iroh in that vote was a valid option. It was something Akane was capable of doing. Something she knew was an option. Let's imagine the internal argument - it would be weighing up the possibility with potential risk.
That is a completely difference scenario to Akane abandoning all plans to do what she wants - in your view, to depose ozai, reform the FN, etc.
If there was a vote to run away, what argument would Akane be having with herself to justify continuing the course or running away? It'd be almost impossible to achieve those aforementioned stated goals without the support of some of the FN with Akane's current knowledge. So why would she choose running away?
Aang and the White Lotus can't be used there for IC motivations.
EDIT: I wrote this concurrently with your reply. Sorry about that, I didn't actually mean to hit send the first time.
Now, running away for not wanting to do the bad things is totally valid and you can push that agenda all you like. But again, we have to question ourselves - why are you making that call?
Because you know that Aang exists. To you, here, it's not abandoning all your plans, because you know Aang exists, and you know there's a way out.
In my personal opinion, I don't like this. We're questing as Akane, and should be working with her motivations, and her knowledge.