Is it possible to select a face by clicking anywhere on the face, instead of clicking the face select point? I’ve looked in user preferences and can’t find it.
User Preferences, Interface, Manipulator Hotspot size determines how far mouse click “reaches”.
Play with slider, but it might interfere while selecting close vertices, i guess.
Without going to such extreme measures, you can just switch to “Opaque Mode”. Then you can click anywhere on a face to select it.