I don't think pins are a good idea. Attempting to remove from a furnace and apply pressure is also very risky. It's going to lose heat too fast and cool too quickly, which will probably crack the carbide.
Instead, flux & layer your stack (steel - flux - braze - flux - carbide - flux - braze - flux - steel), place a fire brick or ceramic block on each side so it won't slide around. Bring oven up to braze temp, soak for a few minutes, then shut it off & let the stack slowly cool.
To reduce stress and increase strength, you can also try to find some clad braze strips with a copper core:
https://www.stella-welding.com/en/carbide-brazing-alloys-trimetals/ These have the braze alloy already applied. We use this at work for brazing very large tips on.
You could also try wrapping the stack in stainless foil to keep it all together. I'm not sure if that would work or not.
I REALLY want to see how you're going to grind this stack once it's brazed together!!