If you are bowhunting, your tag isn't county specific
Habitat stamps are $5
Shawnee is huge and has some decent areas, but its what everyone recommends on every forum. With a little research you can find better areas to hunt...
I'm fortunate to manage a farm that has 150' deer about every year. Your suggestion that most small properties can be managed "to have multiple 150's" isn't realistic. It's basically impossible without great neighbors.
I learned pretty quick you can't rely on a government agency to help you with a burn. They simply don't want the liability.
I only burn NWSG. I've talked to some knowledgeable folks that are against burning hardwoods. I personally wouldn't have any interest in burning mine.