Well since everything needs to be included the simplest way to calculate it would be to just run Factorio until you get equilibrium for 10 minutes and read the stats and from that see how much energy you can get out of the system from pure ice ore, if anything. But since the mod crashes when you combine it with BSB I can't do that. And the BSB recipes are somewhat complicated to make for interesting gameplay so I'm not going to do all the mathematical calculations atm.
But BSB is balanced with unlimited free water in mind and has long slow recipes in chains to make the "free" ores, stone and coal a bit hard to get. Which means that it requires quite a bit of time and energy to make a roundtrip and I wouldn't be surprised at all if the coal you can get out of the BSB loop is less than the energy required to maintain the water flow from ice ore.