I'm not willing to cover up the problem and pretty firmly believe that I shouldn't have to change my behavior to deal with a problem she's creating and that she can control. That just doesn't sit right with me, perhaps because I am having to put up with additional annoyances that are probably outside of her control (e.g., the constant, loud snot-snorting).
After we moved to the new location, I found out that two other teammates had complained about her noisiness multiple times - not to her, but to others - and nothing ever happened. When we moved, those two people took the cubes farthest away from hers. And no, they did not provide me with any warning at all when I got the one next to hers.
So she's been blithely carrying on as usual all this time because no one has had the guts to talk to her about the problem. She probably doesn't even know it is
a problem and now at least three people are annoyed and resentful.
My plan is to use some of the verbiage suggested above to tell her about the issue, then remind her as necessary. If our cubes were situated differently I would use the method suggested by Oh Joy, but the layout makes that awkward (we can't see each other because of the cube dividers), plus I'd be adding yet more noise to the environment.