Using Cereal box material I am part way through covering a Card built corvette shaped hull, the main frames being anything between 1 and 2 mm thick were made from Card that was used to be the back support for a hundred sheets of pre-printed draughting film A0 and below, the initial covering Card was that used as the back sheet of writing pads, that grey card board after the last sheet of ruled paper in the pad so usually A4 sized, the front half of the vessel is covered in Kellogs corn flake box Card, at the moment, the waxy printed side is outermost and when and if I finish it, I will have to sand this coating off so that the second coat can be applied.
I dont know what product in the US, matches what I used which here is called EVO-STICK impact adhesive, it looked more like toffee in colour and flowed like heated toffee, the latest environmentally design versions are white and are like clotted cream and I dont think they are as strong in their grip - mind you I haven't tried it out properly yet, there is the spray can type of contact adhesive that appears to be the toffee style but sprayable and is very good on the grip side.
When I had assembled the frame and first skin etc I also coated the outside and inside with cascamite glue (I believe ground up horse bone), it was a white powder mixed with water and brushed on, I believe it is good for sealing wood joints and waterproofing porous surfaces, hence why I used the toffee style impact adhesive - to make sure it grabbed the sealed surface.
When I see Card stock I usually take it to mean Paper based, though I now consider it means materials like plasticard / ABS / styrene as they usually have flat sheet materials, never tried super glue varieties on these, always the small Brown bottle liquid whose name escapes me, but it melts the surface to allow it to be 'welded' (a brand was called plastiweld) or the glue for plastic soil and water pipes used by plumbers.