The fact that you got a 1099-Misc reporting your pay instead of a W-2, means that you do own your own "business." Since there was no employer to withhold payroll taxes, you are responsible for them.
You would enter your income on Schedule C Profit or Loss from Business. If you choose not to take expenses, you can use Deluxe. If you do want to take expenses, you will have to upgrade to Self-Employed.