Hey, interesting mod!
Haven't managed to play it for real yet, just doing some testing in sandbox and I found that you can very much cover the dredging platforms with bricks/concrete and you can very much place offshore pumps on that (and power poles/undies), so you don't need the battery infrastructure.
Although I don't know how that would break things as by the time you get the dredger, you have batteries and they're more energy dense to transport with containers than boiler fuels anyway. The footprint is smaller too. Still, the changelog says you need batteries, so I'm saying you don't.
Frankly, just chuck some solar panels on there. Doesn't really need to run all the time. And if it does, some modded panels will do.
I guess the point of batteries must be that you actually need to process the output directly on platform because it's such a bother to move about. Otherwise, just the solars would do. So, make a compact setup with acid and chuck output into containers then onto cargo ships. Tricky, I like that.
Although, I just checked, you don't need on site processing and it's not that difficult. With two fast inserters you can easily keep up with dredger output. You do need a continuous convoy of cargo ships but it's doable. Add some rocket fuel as, well, fuel, and it's chugging along without issue. Deliver to mainland 100 per ship and process accordingly. And with that setup you can power the dredger just with solar panels and batteries, full power. Yeah, it's likely quite expensive to run, fuel-wise, but it's doable.
It's also really annoying if you have the "honk" mod, which adds (among others) foghorns to ships. The continuous honking is... vexing.
Please, don't misunderstand my ramblings as criticism. I think it's a neat mechanic, just spitballing things.