Constant camera speed on path

I have a moving and tilting camera in 3D environment. I want to movement and tilting to different directions to be constant and smooth without 'locking' exact camera position to exact time. If I use keyframes to edit camera path, it messes up the constant speed. I could use motion path, but camera tilting still needs to be done with keyframes which messes up the constant motion. What's the best way to do this?
So basically I want to set camera path and positions, but leave timing for Motion to calculate.

Have you tried to Add Parameter Behavior > Oscillate to the Z-Rotation of the Camera from the Properties pane? (set the amplitude lower than 100° - say about 30-45°) [Right click on the Rotation > Z; select Add Parameter Behavior > Oscillate, if you don't know the shortcut; OR, to the Camera; click on Behaviors > Parameter Behavior > Oscillate, and from the Apply To: drop down, select Properties > Transform > Rotation > Z]

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