Dead or alive, I'd still use a chainsaw. You can then use the grapple to move the wood off site. Maybe leave about three feet of stumpage so you have something to work with, be it wrapping a chain to pull them out, bull-dozing, or digging with the FEL.
Digging them up can take a lot of work, depending on the size of the root system. Sorry, no advice for that. I'd cut mine as close to the ground as I can, drill about three or four 1" holes as deep as I can and use a chemical product called, "Stump Remover" that breaks down the wood fiber of stumps, leaving them porous. The porous wood then absorbs kerosene readily. After the porous wood is soaked with kerosene and ignited, it will burn away. The flame is a low, smoldering flame. If the use of kerosene and flame is acceptable to you, this is a cheap and easy option for tree stump removal.
Joe