I would stay away from fastening anything to any portion of the pool, you may well regret it when it collapses.
I live in Ontario where we also have harsh winters, we're in the country so the winds get relatively wild too. The first winter we tried covering our pool, all was great until november when the winds really picked up, the winter cover was billowing like a hot air balloon (even with a ton of water on it), it looked like it was stressing the structure more that it was protecting the pool. Since we don't really have any trees close by, I chose to ditch the cover idea, it is now a type of weed barrier around the perimeter of the pool and under the solar panels - much better suited for that job in my opinion.
I don't do anything for winter prep other than lower the water/shock and take the pump inside.
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