Definitely do physique first. At your height and weight, you would have a tough time in a BB show, but I would be willing to bet you could do well in physique if you went in with the right condition.
Its a win no matter what, because you will get a taste of the stage, and what its like prepping for a contest without having to go to the extremes that bodybuilding prep requires. Physique competitors are usually around 6-7% bodyfat I think where bodybuilders go to 3-4% for a contest.