12 gph is overkill…At 3,100 rpm figure 3 gph per engine or 6 gph (our houseboat 2015 Merc 115 Fuel Injected 4 Stroke consumes 2.5 gph consistently, towing or not towing).
With 230 gals, even without the Cut…going the long way…you can comfortably make Rock Creek and back and run the genset daily to keep batteries charged.
Oak Bay isn’t what it was back in the heyday when there used to be dozens of houseboats and cruisers. A lot of those big sandy beaches are either high and dry or gone due to erosion and lake fluctuation. Choice spots are limited these days, but that could change with a nice 2024 spring runoff…we’ll see…