I seriously believe you could-my hair texture is fairly similar to yours. I also use the rollers with the clamps and add bobby pins which helps provide extra tension
I rollerset my hair and flatironed using my FHI platform and Maxiglide. I used one swipe for each iron. There's also a pic of my silk wrap after a rollerset like I posted in the OP . I think you should try rollersetting, I bet it would look gorgeous