Getting a clean installation of Windows 10 without installation media

Recently, I decided that I wanted to do a full wipe of all my stuff and return to a fresh Windows 10 installation. (with the anniversary update)

The laptop I am using originally came with Windows 8, so I fear that using Factory reset will cause me to downgrade all the way. I've noticed options to restore the computer and keep all your files, but that is not what I want to do. I do not have a restore point I can use to do this and I do not have a Windows 10 installation disk.

Is there a way I can blank slate installation of Windows 10 with the Anniversary Update installed?

Your best bet (IMO) is to get the Windows 10 installation media.

You can simply download the media creation tool from MS, use it to put the Windows 10 installer onto a USB key, boot from said USB key, and do a full reinstall.