I think the Sintra is not as rigid as Plexi/acrylic, right?
I would us an absolute minimum Nielsen profile of 15 (no 5 or 11) for something that long, and only if no glazing (probably a 25 is better for stiffness).
For long sides, I crosswire between the long sides, a pair of D-rings, snap-in or screw-type, wired just tight enough to prevent the sides pulling away when you pull a side rail (don't carry by a side rail). If you pull the crosswire too tight, you;ll see the moulding start to roll in from it's normal 'vertical' position.
Even doing that, I get second looks from my wife.
Unless the Sintra bows from having the photos mounted on one side, it shouldn't do so over time. I have read about mounting a piece of paper on the reverse side of things to prevent bowing due to single-sided mounting, but I haven't experienced it yet (other than dry-mounting posters of foam core that are not going to be frames - they can bow a bit).
It's hard to judge when a given moulding profile is 'too small', but if you are surprised at how heavy the assembled materials are before ordering the moulding, that might be a good 'gut instinct' to go a larger profile. I don't think the mounting hardware is any stronger on a 25 profile, but the frame is more rigid.
Murray