Brett,
I have removed some fairly large alder and maple stumps recently. I have a B7500, so I have to use a little finesse rather than brute force. My technique involves digging a ramp down one side after I have dug a deep trench with the BH all the way around the stump(s). With the ramp, I actually dig under the stump so I can tip it over and then drag it out of the hole. There is no way I can lift stumps like this with my tractor, but I can drag and push them around. I'll attach a couple of photos so you can see. Hope this helps.
Greg