Rothbard does a masterful job, in For a New Liberty, The Ethics of Liberty, and Man Economy and State, to explain everything.

All the objections I ever find, try to jump straight over his most sound deductive arguments (as they cannot clearly be dismissed) to sufficiently say "yeah but then a meaner guy will take what's yours".

If you really want to see how your "big bad meanie" scenario could play out ("could", but free market is much smarter than all of us), read Practical Anarchy by Stefan Molyneux.