So I've created a cold water-world super-earth where the majority of the planet is covered in ice caps, but has an equatorial water ocean that moves north and south with the seasons. Meanwhile, much closer to the poles, it grows cold enough that, combined with the high atmospheric pressure of the planet, liquid CO2 lakes, rivers, and seas form on top of the ice sheet, complete with CO2 rain.
Is this realistically possible? Or is the thick atmosphere required for CO2 to exist as a liquid circulate heat too much for the necessary temperature gradient to form?