Hi, Kathy ~
I'll offer you my experience with balance.
In the months leading up to the doctor visit that precipitated an MRI scan which led to my AN diagnosis, my balance had steadily deteriorated to the point where I couldn't walk a straight line and stairs were a real challenge. Following my retrosigmoid approach surgery (3 weeks post-diagnosis) my balance was still a bit shaky. I worked on it with a VNA PT nurse and did lots of walking in a local park. Eventually, my balance stabilized. It probably took about 3 months and some work on my part, which is fairly typical. Today, some 44 months post-op, my balance is, by my admittedly unscientific measurement, about 85% of what was once 'normal' for me. I call it 'serviceable'. I don't walk crookedly or bump into corners anymore and I can walk up and down stairs sans handrail without much effort. However, on the very rare occasion when I stumble, its much harder for me to regain my balance and although I haven't fallen, the risk remains. Fortunately, this has only occurred a couple of times and I don't consider it a big problem.
I underwent FSR 3 months after my debulking surgery and that had no effect on my balance, pro or con. I believe this is typical with radiation treatment. I can't speak to the possibility of a vertigo attack post-treatment (I've never had a vertigo attack) but I would assume that is relatively rare, but not impossible.
I think the collective opinion would be that yes, post-op, balance does return (often, with some work) and if your balance is decent going in to radiation it should remain so, after. I trust this information will be useful to you.
Jim