Curvature generation on a surface

Our customer has a tank. The tank end on top is a geodesic isotensoid (i.e., not exactly a sphere). They wrap tape around the tank in a spiral. Assume the tape cannot bend the hard way, only the easy way. This means the length of each side will not change as the tape is laid down. Is there a way to leverage SolidWorks features to define the path the tape will take as it leaves the cylinder section and lays down on the tank end?

SolidworksParts And Features