Is it possible to install a small covered entry where the peak sheds water to the sides of the front door? Just a short 4x4 roof over your front door. Regarding the valley, that could be a prime spot to quasi gutter the water; catch it and guide it down and away from the house.
That’s what we’re looking at now, but to deal with the snow issue as well, I think it will be a porch running the length of the house. Divert ALL the precipitation from the foundation!