Tinylake, welcome to the forum! I don't know much about solar aeration, but I know about aeration. Something to keep in mind when designing your system; you know what you have now, and how many CFM of air it makes. (or cubic meters of air), and what size hole it opened up.

For your body of water, you will need approximately 2,800 square meters of open water. You might be able to get by with half of that, but I would try to get as close to that figure as possible. Try to get the open water areas right up to the shoreline, so if anything were to go in the water that it would be able to walk out without having to climb up on top of the ice to get out.