And because everything is in focus on a 3" screen it really is difficult to constantly chimp to 10x just to see if the eyes are in focus. That is my main focus point ... eyes. I like the eyes focused and crisp
I'm shooting a lot of animals, but basically the same problem - the eyes aren't where the multi-point servo af prefers to focus, so you're stuck either with single point af or mf (difficult, but the better option for very thin dof like macro).
Apart from postprocessing tricks to make something appear to have more contrast, my only solutions are: a) use an even deeper depth of field, b) hold the camera/lens properly so at least that's stable, c) accept that not everything will be in focus unless Canon adds an automatic "focus on the eyes" mode in 2020.
Btw 1: For your 7d, install Magic Lantern, it has a feature that goes to 100% mode right away (and navigate to the focus point if you want) so you can see what's in focus quicker.
Btw 2: With a much more expensive camera set like the 5d3 with a new closed loop af lens like the 24-70ii you'd probably would get more in focus, but that's 3x the price of your system