I don't know what is a control point, but if you press the Up arrow key, you have constraint on the Z axis
If you want draw only vertical lines, you can use the Chris Fullmer plug "3 lines tools"
by lenght
by elevation
line on normal
@unknownuser said:
You could setup different scenes that have the axis set differently in each scene. If you uncheck all the options for each scene but the model axis, your scene buttons will do nothing except change the model axis.
Interesting use of scenes - nota benissima