Reframing of the roof to vault the ceiling

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Hi All,

I have a trouble to decide how to re-frame the roof. I had several discussions with framers and architects by could not come into a conclusion on what is the best. Here is my drawings (can't share the actual drawings as of yet). But this is just to get an idea. I need to raise the ceiling over the flat roof. What would be the cheapest and the most acceptable option? Most of the people I saw said that it is better to continue the pitched roof with smaller pitch (see in red). But this does not look satisfactory to me. What would you do?

https://www.dropbox.com/sh/vdz...