I think now would be a good time to broadcast grass seed over the burnt areas to help bind the soil together. Use a creeping grass like centipede, that grows close to the ground and does not need mowing. Certainly some of the seed will not sprout, or be eaten by birds. This will help reduce erosion and consequent mud slides.
When the grass is established, put goats in the area to free range to keep undergrowth from getting out of hand. Goats can navigate rough terrain, and they love to climb. They do not need supplemental food, and they will find water.
They are survivors, like cats. Anyone who has raised goats will verify what I say.
(Of course there are certain breeds of goats that need not apply.. too domesticated))
Not a perfect solution, but even a little is better than nothing.
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