Hi Saysi,
Welcome to the Forum
Some interesting questions. I am sure that someone will have the answers.
Since you caught some trout when ice fishing, then I would think remaining ice would not be an issue. Some fish are spooked off by rain but I have no idea if trout are. Most fish are opportunistic eaters. They might not go "hunting" for food when it is raining, but if food comes to them, they will grab it.
We are just about to come into winter here. So I take it that those are spring rains for you. Maybe someone with local knowledge can give some tips and tricks for catching trout during spring rains.
itsaboat mate...Life is just a boat and then ya marry one !