Roundup stump treatment (read and follow label directions) works fairly well. Of the species you mention the beech has a tendency to become an invasive if allowed. Read up on various methods of control. What beech does, is it has a large root structure, spread far beyond the drip line. Those roots will sprout new shoots if the ground where a beech was removed has sunlight. As soon as you see new shoots (check 1-2x annually, treat with roundup (again read and follow label directions).
Still, some beech is GOOD to have, just don't let it take over. If left unchecked you will get a beech thicket in a few years after cutting down a large beech, this thicket will choke out everything else. It will choke out young sugar maples, however a mature sugar maple IS dominant.
Dave Klish, I recently bought a 2x6 wood fired evaporator from A&A Sheet Metal which I will be converting to oil fired
Now have solar, 2x6 finish pan, 5 bank 7x7 filter press, large water jacketed bottler, and tankless water heater.
Recently bought another Gingerich RO, this one was a 125, but a second membrane was added thus is a 250, like I had.
After running a 2x3, a 2x6, 3x8 tapping from 79 taps up to 1320 all woodfired, now I'm going to a 2x6 oil fired and a 200-425 taps.