Full disclosure: I am not an engineer and didn't even sleep at a Holiday Inn Express.
FWIW, I had my doubts about your load calculations, but I did the simple math and I agree with your point load calculation.
If you go with your own laminated beams similar to your last design sketch, the middle section with two 2x6's and one 2x8 is 1/4 inch less than 2 stacked 2 x 10's.
How are you connecting your beam to the posts? Are you placing the beam on top of the 6x6's? I hope so.
I would caution you to design a robust fastening technique for the beam to post connection. Possibly here is a good place to use some steel plate in a triangle as a gusset on the face of the beam and post on the inside, lagging it to the beam and post. Possibly 1/4".
For that matter, you could place gussets on the outside as well. I doubt that it would interfere much with the steel siding.