Back in the mid seventies, while on a trip to Vienna (Wein) Austria, I was invited to a small home business, where they produced custom, laminated security doors.
I was surprised to learn that the equipment he was using to press the veneers together was some of the same used during WWII to make laminated stocks for K98s as well as other firearms.
The presses were hydraulically actuated of course and surprisingly they were still using the same hydraulic pumps but the motors/hoses/pistons had been swapped out.
There were six cylinders in all, so pressure could be applied evenly.
I was surprised at how large this press was. It was originally built to hold several frames that contained the glued veneers in position while being pressed together. This process, was helped along with heat.
When I looked at the original frames, I was surprised at how small they were, until it was explained that laminated plank was just large enough to cut out two stock blanks. The press could hold 25 frames. Depending on the glues used, the process from start to finish, took appx 3 hours. Yeah, I know, slow. Just remember, this was a single press in a building about the size of a two car garage.
During the last few years of WWII, these small cottage factories were common. That way production couldn't be taken out with one big strike. They applied the same sort of system to aircraft production.
The press was perfect for making just about any size laminated doors, for which they were getting horrendous prices at the time.
They used a polymer type glue for the most part, unless the door was going to be used with one side out in the elements.
I was surprised at how little pressure they needed to exert on the glued layers of laminate. Right around 50kg. They're biggest issue was making sure the layers didn't slip in the process. That's where the frames came in, to hold the veneer layers square.
I believe most stockmakers that are gluing veneer together now use a waterproof glue. I read somewhere on CGN about the different types of glue used by both the Axis manufacturers and later the Soviet manufacturers. When we see the WWII and later stocks, they commonly have either RED or White glue.
Modern manufacturers use a clear glue that is almost invisible. Maybe something like that clear Gorilla Glue, that is supposed to be waterproof?? Gorilla Contractor's Glue is also excellent but I don't believe it really hardens. It certainly holds well.
Whatever glue method you choose, it will be an interesting project.