I know what you mean on the compost heap, I have bindweed in the garden, which is progressively dug out as I get to it, picking over the soil for the smallest bits of root I can see, which only goes in the green waste bin as they will get to a high enough temperature to kill it.
Not much doing here other than a back breaking but rewarding task of trying to create a new bonsai. In this case it's from a yew that has been in the garde since the house was built by the look of ot, in 1985. I'd been topiarising it into a cuboid about 3ftx2ftx2ft, but the wife kept complaining about it scratching her car. Last yeat I cut it back on one side to reveal a very good branch structure as well as a trunk about 6" diameter at soil level.
I've been slowly trying to excavate it over the last month or so with combination of spade, fork, pick, rake and loppers, and am not far off getting it out now. About a spade and a half down is heavy clay, which I think ahs made it put out lots of nice shallow roots. Now I've found my small folding camping spade I think I should have it out tomorrow.