Peter,
Having worked extensively for 5 years on the C-field, I tend to forget that non-mathematical physicists sometime have a very hard time visualizing the term
[(del) cross (vector1)=(vector2)].
The cross product works at right angles to the vectors on either side of it, so that vector2 is orthogonal (perpendicular) to both del and vector1. And "del" is an operator that tells how things spread in space, a difficult concept on its own.
Do you know how a line with electric current flowing through it induces a magnetic field around it? The gravito-magnetic field (the C-field) will be induced around a mass-current in like manner. But mass current, mv, is mass time velocity v, which is momentum, and although photons don't have rest mass, they aren't at rest, so they have momentum. That's what induces the C-field circulation.
To try to get pictures in your head, go to "Magnetic Field" on Wikipedia, and click to section 5.1 in the Contents: "Magnetic field due to moving charges and electric currents". The first picture, illustrating the right-hand-rule shows the magnetic field around a current. If the arrow is the photon, the gravito-magnetic field induced will look the same.
I am both surprised and impressed that you were able to work out the principles in your essay without much math and disappointed that you don't understand my paper. I though you'd be jumping up and down by now, because it is exactly the answer you are looking for.
There are other aspects of the C-field interaction with photons that I'm working on now, but this paper contains the theory and ideas that you need. After you look at Wikipedia, if you have any question, let's discuss them.
Willard may also be able to help here, but I think he's in academia, and may not want to go out on a limb about the C-field being strong enough to behave as I have described.
In any event, I'm grateful to you for leading me in this direction, with your essay.
Edwin Eugene Klingman