GF. To answer your question about entering an EEP or ETP on the legs page, of course you're right, you don't ever want one of them becoming the active wpt. If your equipment has limited capabilities, one way to do it is to put it at the end of your flight plan on the legs page after the destination and after a discontinuity. If "floats" there, and is visible on your nav display as you go by it, but never becomes the active wpt. It has no effect on your flight plan total dist. and fuel calc's. Used to do this on the B757 with it's basic FMC.
If your equipment is capable, then the fix page is the place to put them either as Lat. and Long. or with distance rings. (Usual B777 method).