You should only see C rotations after the 1st hole if they are on the same axis.
Can you show your posted code?
Assuming you have a 5 axis machine, you can use the "lock axis" UDE
I've never done it, but there have been posts in the past on this topic.
Production: NX10.0.3.5 MP16/TC11.2
I'd rather be e-steamed than e-diseaseled
your tool path is 5 axis, straigth lines, but move is in 5 axis.
Consider if your machine have 5axis tranformations.
You can omit moves between holes somehow as well, but you can have problem in some other cases where is C rotating not enough.
It is pretty complex.