Let me shed some light on where you can fill out and print the 944 form in QuickBooks.
The option to fill out and print the 944 form is only available to the Online and Desktop version of QuickBooks. This applies to the employers with $1,000 or less in employment tax (income tax withheld, employee and employer Social Security and Medicare tax) liability (approximately $4,000 in gross payroll).
To learn more about the 944 form in QuickBooks, please scan through this link: What is Form 944?
On the other hand, to verify the form that you'll need to file as a self-employed, I'd recommend reaching out to the IRS. This way, you'll be guided about the process so you can fill out and print the form from the site.