Can't help your thinking, but maybe your tactics.
It's been years, but I think I remember my approach. First I opted the three battalions, then attacked the northwestern objective with two battalions, leaving the third behind and approaching the last objective immediately to the northeast. The two battalions move clockwise around the objectives, capturing each, then secure the last one at the end of the loop with the aid of the third battalion.
Of course, there are other tactics that need to happen to be successful...That's where to focus your "thinking".