You're not thinking of 2x6 flat purlins spanning 10', are you? Those would sag dramatically just from the metal roofing load, and collapse with serious snow load. If you use good sized beams spanning across the truss bents at ridge and eaves with intermediate rafters spaced 3 or 4 feet apart, 2x6 or 2x4 purlins would work fine.
Those purlins would be a lot of lumber to buy, and if you have a surplus of roundwood, I would use those as purlins and skip the purchased lumber. This would require quite a bit of flattening time to give a good surface for metal roofing. If you have some 20' logs for purlins, using those staggered to span multiple bents would increase the stability of the structure. You will need diagonal braces in both directions in any case unless the posts are set several feet deep in the ground, which depending on your climate and soil would likely rot in several years without effective treatment and placement. 2' deep post setting will barely keep them upright during construction, never mind live loads. If you are in a hot moist climate with wet soil and little stone, I would try different foundation methods than earthfast posts, assuming you want this structure to last.
Looking at your sketch, your trusses need to have the tie beam directly secured to the top members of the trusses, and the longitudinal beams tied into those - there are several ways that could be done. The diagonals in the trusses would be necessary at the span you show unless the top members are really strong. The truss joints need to be serious load-bearing types; again, there are numerous possibilities.
More detail on the sizes of your available logs would help us give the best advice.