Plum suckers? What to do with stumps?

I have had the similar situation for years under a damson tree but as it was in my orchard I just cut off the suckers and any roots that poked up a couple of times a year. I tripped over many of them the rest of the year. I left it as rough grass. WE built a house on the spot two years ago so whilst builder here we ripped the roots out. Suckers still come back and now under flower beds so every chance I get I take an axe to any residual roots. Sorry not to have a solution but my limited experience suggests that as long as you have the tree you will have suckers that will push past or through gravel or sleepers and up into any compost bins. If you take tree down that is a shame and hell of a job and will still leave roots in ground so still suckers. Could you live with suckers and cutting off as and when you can find time and energy and plant soft fruit such as gooseberries amongst them. But tree will take most of water and nutrients from any crops.hope someone has better ideas!!!!!!

Try splitting the top of each stump with an axe, then place a small quantity of granular nitrogen fertilizer on top of each stump.  The fertilizer will accelerate decomposition. and kill the stump.