Jason
I love your enthusiasm and don't want to dampen your conceptual fire, but any worthwhile theory must be based on reality, on firm foundations, not quicksand. There is a way ahead, but based on science not just invention!
Take a closer look at 'virtual photons' so you understand them properly before relying so much on imaginary properties. You say; "Sorry, it is the virtual photons that make motion possible". They have indeed been described that way, and may suit your idea but it's a poor, indeed false, conception and description. Look at the Baez description under 'renormalisation', and consider accellerators. Both the accelerated particles and the magnets field grow a cloud of them proportional to speed, and it's their oscillation that both holds the acceleration energy imparted and prevents them reaching 'c' wrt the background field.
Indeed, in a way it is they that PREVENT any motion faster than 'c'! You cannot credibly rely on them as the 'magic bullet' you need.
However. They can only prevent C motion wrt the dark energy field. Remove that energy just in front of the craft and 'the universe is your lobster'!
Your FMI is very close to the shift Christian Doppler gave us an equation for. The inertia, or momentum (as they are synonomous) energy is conserved by the shift when the waves, or 'wave packet' photons, move between frames.
Another point - Black Holes; As your photon is starting outside the event horizon we will be able to see it, that is the definition of the event horizon. If it's in our visible range and starts just inside the event horizon; it will be red shifted (FMI) to just below the trigger level of energy our eyes can register. Now we must remember our arrogance! The part of the spectra (spectrum) our eyes can anyway pick up is infinitessimally small compared to the whole! This means the red giants we see may really be mega big neutron stars, but with so much gravity the gamma rays reach us at the bottom end of our visible spectrum. If they're bigger still, or emitt at a lower frequency, they're outside our visible spectrum and we call them black holes. (we can however sometimes pick up infra red and radio frequencies from them).
I think you need to forget the old 19th century 'messenger particles' concept to achieve real 21st century physics.
Lastly - photons can only change frequency by changing speed, which is what they do going into glass and water for instance, and is why 'c' is a constant locally when it changes speed between frames. Take that fully on board and the answers will flow.
I hope this will help.
Best regards
Peter