A plugin to limit the wrapped vertices to just a few of the eye vertices is probably what you need.
Stopper's Clothing Rewrapper or
Regguise's Clothing Editor are the best ones that I know for that. It may also help to create another temporary version of your character's morph that moves the eyes far away from the body to make wrapping easier.
For a lot of creators the eye parts (eyelines, eyebrows, pupils) are usually separate clothing items or CUAs. For some of McZippy's work it looks like the eye whites will be a CUA that act as the person atom's eye sockets, then just the irises and pupils of the person atom will be visible inside the sockets. They usually have an eye texture assigned under Iris Materials and the same texture used for a pupil clothing item. Also, the eyelines and eyebrows might be drawn into the face texture for some of their work instead of being clothing items.
From what I've seen of Ashu's work it seems like they're somehow able to create the whole "Face" with eyes, eyelines, eyebrows, and teeth as a single clothing item. It's really impressive and beyond my understanding, you'd probably have to reach out to them to learn how to do that.
