I wear spiked shoes a lot since it makes winter running feel more like summer running, i.e. using the same muscles and form, but you have some road running to get to the trails so it wouldn't be very nice.
Kahtoola Microspikes usually work well in "sheet of ice" conditions.
In our iciest winter, I had to use Kahtoola's lightweight crampons (KTS Crampons) a few times but they're risky to run in if you don't lift your feet on every step!
Yaktrax (and probably Kahtoola's Nanospikes) break easily and don't work well enough on ice to be a regular solution for a good runner like you. Maybe you have an older pair of shoes you could sacrifice and install screws on the bottom?