You cannot fight the fire. Pushing the red button will shut the engine down. When you lower the gear, the thing goes straight into direct law with both RA's failed. I also seem to recall that the APP cannot be armed with both RA's u/s, so an auto land is not an option.
Your best option might be an approach in LOC/FPA. Follow the glide to the runway and leave the gear up. Anyone tried an LVP approach in direct law with an engine out?
There are plenty of examples in history of accidents resulting from a delay in getting a fire on the ground.