The cowl and the cape should be very much on the side of theatrics - it needs to look organic whilst protecting his head - a cape, it can't get in the way so needs to be practical, but can also be used for flame ******ant, self defense etc
The body suit underneath, that's what will protect his vital organs. Also, we have to believe that what we see works... for the BvS suit, it just looked so stiff and bulky, the cape looked like it weighed a tonne.. An updated Batman returns style suit would work best for me.