If the gable rafters are continuous and without any notches for the look outs out riggers the header would only support the wall framing above.
Garage door header on gable end.
16 garage door headers the garage and other window and door openings are prescriptive see figure r602 10 6 2 alternate braced wall panel adjacent to a door or window opening a minimum 3 x 11 25 net header size is required for opening from 6ft to a maximum 18 ft.
That would take care of the wind and seismic shear loads.
They may suggest doubling up the trusses at the gable end in order to hand the header.
With notches the gable roof overhang loads and the gable rafter partial load.
Loading conditions are detailed below.
As such the wind loads c c on the gable end will be felt by the garage door header and sizing of the header may be affected by this increased biaxial loading situation d 6w or d 0 75 0 6w 0 75 s.
However it seems like picture one uses the most floor space.
Window door garage door headers supporting roof wall floor loads.
A single flat 2 inch by 4 inch 51 mm by 102 mm member may be used as a header in interior or exterior nonbearing walls for openings up to 8 feet 2438 mm in width if the vertical distance to the parallel nailing surface above is not more than 24 inches 610 mm.
Also see assumptions for table development.
Very hard to figure as the fly rafter load would counter weight the second rafter in s up lift pivoting on the gable rafter.
Two overhead doors ten foot wide plus a 3 foot man door need between 26 and 30 foot of linear space depending on how tight i want to go to the walls and between garage door bays.
The point load of the door should be within 2 of each outside wall you re putting another 6x6 posts there right.