Not sure what I checked, but no matter what I do, the particles will literally randomly change direction and change everything I have just worked on whenever I go to render it.
Does you model have any modifiers that are not enabled for the viewport but for are are render time (eye and camera icons in modifier settings)
Please supply link to demo blend file that shows problem so we can see what settings you are using
Check your Force field objects in the scene, and have you tried baking the hair particles?