Running noise profile

Yes.

Next to Noise Profile, there is a little gear icon. Click on it, then click new. Save your noise profile somewhere, then go and open it.
You should see this:


You can customize the noise for each position (X,Y,Z) and rotation (X,Y,Z). Play around with the values until you find the one that you like.

If you can't create one that you like, then could you show a video of a running / headbob noise profile you have in mind?

Have you tried our built-in noise profiles?

 

Yes, I played Gears of War and I know that running camera! And yes, it is possible to do that!
I'll create something similar and add it to our sample scene and post it here when it is done.

 

Have a look at StateDrivenCamera sample scene. This shows a setup that switches based on Animation state. When the player is sprinting (press space to sprint), then you get a noisy close up camera, something like the RoadieRun.

To have more control over the noise and fov, I'd suggest using a MixingCamera (GameObject -> Cinemachine -> MixingCamera).
The mixing camera will have 2 child vcams. One for normal run camera (vcam1), and one for RoadieRun (vcam2). Now the way these two mix are up to you completely. You can write a script that controls the Child Camera Weights to really fine tune your roadie run. Your vcams could have different noises on them even.