I don't have first hand experience with SS's Egyptian cotton but I especially enjoy royal oxford for a more silky, smooth feel. Although all cottons wrinkle I think it wrinkles less than most any thin cotton poplins. Cotton twills might also be a good option. Why not try a shirt from someone else like Paul Stuart in a royal or twill cotton https://www.paulstuart.com/men-s/shirts/phineas-cole.html . Or, visit CEGO (The previous post) for a custom fit shirt?