I've done the same in the past. Simply mowing will take 4-5 years for the 2-3" stumps to stop sprouting. Mine are usually willow, red osier dogwood and alder.
Apply Round up - and overseed with clovers, brassicas or grains like rye opr Winter wheat. It might be a messy plot for a couple years - but it'll clean up - and it'll never be as hard as the FIRST "MOWING"
example - 3yrs later -
I checked the plot again this last week - and was really pleased. Finally - probably will be able to leave the clover this year and just mow.
FH