I can't remember exactly how much time it took us for an out-and-back from the jumping off point from BA, but I'd plan on an hour each way. Also, you can forget about any running at that point. Picking and choosing your way up, down, and around rocks, trees, outcroppings, etc. is the name of the game on the Battleship route. It's a fun adventure, but after bushwhacking out and back, the groomed BA trail felt lovely underfoot for the final climb out.