I have no good answer, but like you I hate ironing and avoid it at all costs. Why iron when there are shirts with materials that resist wrinkling?
For me though I only chose time tested products that I've had success with in the past, I really like cheap Van Heusen Poplin shirts for business casual. For some reason I don't quite understand not all synthetic/cotton blends are created equal, some of them still wrinkle somewhat. I would love to hear other suggestions.
The other thing to do of course is careful packing. The main thing is to avoid friction between cloth layers and secondly any style of packing that avoids folds will help (bundle packing).