You won't be sorry having a mulcher. The swinging teeth do a good job but with limited horsepower, they will lay down more. I imagine that Alamo can handle more flow.
If you can find a fixed tooth mulcher, it will keep cutting even as it slows down.
The idea of bringing brush back and shredding to manageable sizes is smart. It takes up less space, can be used in composting, backfilling rocky areas, as a soil amendment in poor soils, or can eventually be reprocessed and mixed with dirt. The more you mow it, the finer it gets. There's a lot of possibilities and it's fun to mulch stuff.
"You Can All Go to Hell, I'm Going to Texas." --Davy Crockett