I use sizeup[1] to maximize the terminal (or any other app) with a keystroke, instead of native full screen. It works across all applications that allow window resizing, and has handy shortcuts for "half" full screen, which is great to position, say, a browser and editor next to each other across the whole screen.
Which reminds me, I really will go and pay my 13 bucks for it now, it's more than worth it. But the free version is fully functional with just an occasional nag screen.
[1] https://www.irradiatedsoftware.com/sizeup/