I would bet someone's done a study out West, where it's not that uncommon to have fires sweep through 10s of thousands of acres, to see how fast game comes back. Not exactly parallel to the hypothetical presented, (different game densities to start with, different species than the SE) but would give you an idea of what would happen. I know the big quail plantations burn on a 3 year cycle, so about 1/3 of the place actually gets burned every year. They carefully checkerboard the place into relatively small squares (50-100 acres).