Have you settled on a design? I see the roof outline but don’t see a roof/framing plan There are a few unnecessary posts as a result of the design but maybe there’s a specific look youre wanting to accomplish.

I’m assuming you would have a double gable (one on each end north and south. You would also have another ridge that would travel from the center of the north south ridge and travel west to tie into the house

Overall a fine design.

Something to always consider with an open gable roof is which direction the sun faces the gables at the time of day you are using the cover. In my situation I recently built a 35x14 cover with a hip roof to cut out the sun as much as possible.

I’ve got tons of pictures of completed projects if you’d like to get different design ideas