Ice cubes could cause tummy trouble if the bun gobbles them up. Most buns wont do that, and if shes supervised, you could stop her from attempting that.
We have some cooling tips on our info-page: https://binkybunny.com/infocategory/cooling-tips/
The wet cloth + fan tip is really great it’s what you do for hyperthermic humans too. You can also lightly spray the bun’s ears with water, just a fine mist, because the ears are, as you know, the bunny body’s major “cooling stations” where blood is being sent out to cool off. I have wet my buns ears gently during hot days, because he doesn’t appreciate being sprayed water on. If you spray, hold the bun’s ear gently and spray water on them, dont spray the whole bun from a distance, because that is generally not considered very nice by rabbits.
Some buns find iced water bottles really offensive. Others love them. But even if the bun shuns the iced water bottles, they will still lower the ambient temperature, especially if you put a fan on them.