In Model Railroad Planning 2005 at page 90, Lloyd Miller had a planning tip to allow for #6 turnouts at a #4 angle.
Essentially, the first ladder switch's (all switches are #6) diverting rail is followed by a short piece of 48" radius track - to get to a #4 angle. The second ladder switch main is aligned with the straight #4 angle and the diverting rail is attached a short piece of 48" radius to form the third yard track on a tangent. The third ladder switch's main is aligned the same as the second ladder switch and thereafter etc. etc. To accomodate this, the second yard track comes off from the first yard track by a #6 switch after the first ladder switch.