Two full-screen windows of the same app; any way to switch between those two windows (similar to the way command-` works in non-full-screen apps) using only the keyboard?

If I have two full-screen windows of the same app, is there any way to switch between those two windows (similar to the way ⌘-` works in non-full-screen apps) using only the keyboard?

I know you can switch between spaces using control with the left & right arrow keys, but what I'm after is a way to toggle between windows of the same application, not between spaces. Essentially, looking for the ⌘-` behavior with full-screen windows as well.

Things that don't work:

• Four-finger swiping with mission control (toggles spaces, not windows of the same app)
• System Preferences -> Mission Control -> When switching to an application, switch to space (doesn't allow toggling between two full-screen windows of the same app)
• Anything that toggles between spaces rather than full-screen windows of the same app

Third-party solutions would be ok too.

Thanks!