Just as one man's opinion, I would be very leery of controlling a trim tab using just a push-pull cable.
The inherent "slop" there may be small, but it is the window that can allow flutter to start. By adding a spring to the tab and using the cable as a pull only actuator eliminates this potential. Ackselle, in your situation putting a compression spring over the cable between the rear cable mounting bolt and the trim tab horn would preload the cable into the pull only movement. These cables are really not designed to push. A very small bend in the cable, outside the housing, weakens it's ability to push significantly.
Another solution is to use two cables both in the pull orientation with springs to hold them tight.