PPRuNe Forums - 737 Cruise Angle of Attack

I have a quick question regarding the angle of attack of a 737 during cruise conditions. I've found several posts about how an airplane maintains a certain angle of attack to account for fuel loss, etc, however all of them seem to throw around ballpark values for the angle, an estimate being ~3 degrees for a 737. Is there any way to find out the exact angle of attack for a 737 during cruise conditions? I have one solution, but it involves attaining the stability derivatives of a 737 during cruise, and then solving for the angle of attack using several equations. I was hoping there might be some data sheet somewhere which has this information. The main purpose to this info is that I need to know what angle to pitch an engine nacelle so that it lies axially to airflow.

Thank you very much for any help!