My Maremma looses lots of hair nowadays when we pet him. We just got a brand new one who is shedding as well, it's that time of year.
We were told the Big White Dogs should not have a high protein diet. The dog food you're feeding is very high protein and cooked eggs is quite high too. You might want to experiement with a low protein food or find an Akbash list serve or forum. Lots of people keep their LGDs on a raw diet (of chicken). Not sure how that works protein-wise. Maybe the inclusion of bones lowers it.
My project thread Agriculture collects solar energy two-dimensionally; but silviculture collects it three dimensionally.