One suggestion that has worked out well for my father with his L48 Kubota and D2 dozer with winch, is to dig around one side of the stump while the tree is standing, the side opposite that you want to drop the tree. Once its properly excavated, run a winch line to another tree and a snatchblock, and then over to the dozer winch. With a little tension, you can take down the whole tree AND stump in one action. Of course you need to be careful doing things this way so you don't drop the tree on top of yourself, but it sure saves time stumping!
With a smaller BX, everyone's suggestions to dig around the base, cut the roots with a sawzall, and then remove the stump is the key.