Tanya PUL as the outer layer works well as well as fleece such as malden mills. I've got both cotton and poly PUL and have had no wicking problems.
If you make a soaker pad of bamboo and attach it to a flanelette hidden inner it works a treat. Also a nice booster of 2 or 3 layers (more than 3 would take too long to dry I think) of bamboo.
I've made one with a hidden layer of bamboo and while it is nice and absorbant it's a bit too bulky and tricky to close up the seam once you turn it the right way out because it's sooooo thick.
What pattern are you looking at using?