Best roof design to shade south facing deck

I'm in the early stages of designing a new house. The deck will be on the second story and on the front of the house which faces mostly south/slightly east and I would like the deck to be shaded as much as possible. Here are a couple designs I'm contemplating...

https://www.houseplans.net/floorplan...oms-1-bathroom
https://www.houseplans.net/floorplan...ms-2-bathrooms

I really like the 96300599 one and it should block the sun pretty well since the sun rises in the east and sets in the west, right? It also seems like it would work better for solar panels than that other one too. I'm open to other ideas as well.

 

Think of the angle to the sun. A roof that extends outwards further will provide more shade. And, a roof that is lower in height will provide more shade. A higher roof will have to extend out further to provide the same shade as a roof that doesn't stick out as far but is lower in height.

For solar panels you want a roof that allows the panels to face squarely south. Angling the panels in relation to the sun reduces their efficiency. Check with insurers in your area to see if they will cover a house with roof mounted panels, some won't. The panels should be periodically cleaned for better efficiency so think about access. I personally do not like roof mounted panels, mainly because of the numerous holes they put into the roof for installation which can be potential leak points but it's a common place to put them.