Searching for a wheel rim

We’re struggling to find a new wheel rim of the right size! Can you help?

A specialist bike shop in Perth is supporting my upcoming journey by getting my bike ship-shape, doing the labour pro bono. They’re building me a new strong rear wheel that can handle the load, but being a vintage bike, none of their Australian suppliers have the right size wheel rim. We’re searching everywhere and putting our feelers out. Are there any cyclists out there who have access to a 27” double-walled touring bike wheel rim with holes for 36 spokes?