Here's the thing. If you want that smooth look, you will have to iron, and the starch will help it stay that way longer than five minutes after you put it on. Spray on the starch, count to ten, ten iron. Don't skip the counting.
The "wrinkle release" feature on your dryer is not going to give you that look. The best it will do is to keep ultra-deep wrinkles from setting in. You'll still have a mildly rumpled look to any 100% cotton woven piece.
If you don't mind paying for your dry cleaner to launder this piece, that will always give you the smoothest look for the least effort (except the effort of dropping it off and picking it up.)
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Small feminist note that may annoy you as it does me: cleaners charge more to wash and iron women's shirts than they do men's. Technically this is illegal (see case won by Gloria Allred many years ago) but they wiggle around it by saying things like "That's not a shirt, it's a blouse." Actually, even if you bring an identical button down woven shirt and it happens to belong to you as a woman, they will still charge you more, so that whole blouse/shirt thing is bunk. In that case they will say that women's shirts are smaller, don't fit on their press and so must be ironed by hand, hence the higher charge. That was actually the argument that lost them the Gloria Allred case, but they continue this discriminatory practice and no one makes a peep because who can afford to be on their dry cleaner's bad side?
Way more than you wanted to know...
