When I helped a friend build a pair of 2Pi tower speakers using MDF. We found that veneer to cover front, top & sides would be more expensive than thin solid wood. We glued up for width and used wood glue to apply on to the MDF. I'd done that with my own speakers and it's stood up to the test of time. Also using water based polyurethane used for flooring helps with humidity. And where I live in the summer is very humid. Just an option among many others for you to figure on.
Thanks for that, I'll have a look and see what's available. At the moment I'm planning on veneer for the sides, top and bottom and a paint finish front and back. Partly for cost reasons as 20" wide strips of nice veneer are very expensive and partly to be able to help the speakers blend with the room a bit better. They're not as tall as my current speakers but are over 6" wider.