A sub-laminate module is described for use in forming composite laminate structures. The module includes a first ply set containing a first ply layer oriented at a first angle and a second ply layer oriented at a second angle, the second angle being unequal the first angle; a second ply set containing a third ply layer oriented at a third angle and a fourth ply layer oriented at a fourth angle, the fourth angle being unequal the third angle; first and second equal acute angles are defined by differences between an absolute value of the first and second angles and the third and fourth angles, respectively, wherein the second ply layer is positioned adjacent the third ply layer and the second and third ply layers are both positioned intermediate the first and fourth ply layers, so as to define a staggered double-double helix sequence of the respective ply layers. Associated composite laminate structures and methods are also disclosed.