I used to dig up stumps, but then I learned how much faster and easier it is to take out the tree with the stump all at once. Smaller hole and the stump comes out cleaner. Then it's out in the open when you cut up the log, and it burns right up with the branches.
If I find a stump now, I either dig it up and leave it in the burn pile until it's gone, or bury it deeper where it is.
In my area, there is a big tub grinder that the city, county and I imagine others, bring stumps to. They have massive mountains of the mulch that is created from grinding up those stumps. I saw one stump in the back of a dump truck that was too big to fit in there and I guess, heavy enough not to fall out. It was massive!!!!
If you dig them up, can you load them and haul them if you can find a place that takes them? I don't havey any way to do this, so I just burn and burn and burn some more. LOL
Eddie