We have been working on a dairy free pudding, in this case a banana pudding using coconut milk.
The following recipe was been reworked a couple of times and the results are pretty good. In fact, you could eliminate the sugar/sweetener all together when using the roasted bananas. It all depends on how sweet you like your pudding.
Again, we wanted the texture of the bananas so we opted not to go this route.
1/4 teaspoon salt
2 cups full fat coconut milk
1/3 cup flour
1/2 Tablespoon vanilla bean paste (or vanilla extract)
4 bananas, roasted