I found how to get the income to show up on Schedule 1 as other income without TurboTax creating a Schedule C (and making you pay self-employment income).
Enter it under Personal Income -> Other Common Income -> Income from Form 1099-MISC.
The important part is how you answer the questions after you enter the form.
Involve work that is your main job? No
How often? Only choose the current year (this is important to keep TurboTax from creating a Schedule C for it)
Intent to earn money? No (trust me, you have to choose No for this so TurboTax doesn't assume it's a business and creates a Schedule C).
That should do it.
