I am curious what you are covering your pallets with and why? I use bins made from 4 pallets wired together, and it works really well for me.
As far as materials, I collect coffee grounds from a local coffee house. I bring them 5 gallon buckets with lids and they collect the grounds for me. I pick them up every few days and average about 3/4 of a bucket per day. The staff loves it since it keeps their trash lighter and cleaner. I mix the grounds with woodchips and fill up a pallet bin this way. With just those two materials, the pile will heat up to 160°F without turning or watering it.
Here is a link to a blog post about my composting with pictures.
http://wholeviewfarm.blogspot.com/2012/08/our-compost-system.html