The smallest lightest FDM printer I know of is the Monoprice Mini Delta. The shipping weight is 10 pounds, so the printer itself would be less than that. It has a handle on top, but doesn't have a carrying case.

The Phrozen Sonic Mini is a resin printer that is smaller in size than the Mini Delta, but about the same weight. I suspect that it is more fragile than the Mini Delta, and I'm sure that airlines wouldn't let you carry the resin with you.

Amazon carries both of those printers.

I've traveled with my Ultimaker 2 Go, which weighs 13.5 pounds and came with a nice carrying case, but it wasn't fun. Maybe you could find a Makerspace where you are going, and join it while you are there. That would give you access to 3D printers and people who could help you use them.