Incidentally, coppicing doesn't always work. The only time to consider that desperate plan is when your tree is already growing active shoots on the tree or you just want to reduce a big tree down to a little bitty, new-looking one.
I have an active coppicing project going at the headquarters of the local fire department. Their entire landscape is filled with green ash trees, all of which are in various stages of decline from ash borers. (Not EAB, by the way). For a number of years, I kept telling the management that the trees were destined to fail, that they should quit pruning all the dead branches and focus on growing new trees.
Along the way, several of the dying trees started growing suckers. Rather than do a total removal with stump grinding, I persuaded them to leave foot-tall stumps with the plethora of suckers still attached. Once the thicket of suckers had established what I considered the best candidate for a new tree, I rigorously pruned back all the competing suckers, and now we have attractive new ash trees growing like weeds from a stump that still protects the tender bark from the lawn mowing crews that tend to bang all the bark off with their string trimmers.
Their management has seen that they are getting new trees without being obliged to pay for the replacements, and this is in complete agreement with a city policy that prohibits tree removal without their urban arborist's approval. So... We get continuing business from what would otherwise be dead trees, all from a budget that doesn't allow for planting new ones.
As far as that goes, the landscape architect planted too many of the damn things, anyway. It would be appropriate to have half as many trees if they were mature, but spacing the trees appropriately for mature stature doesn't seem to be a concept supported by the landscape architects. They seem to prefer lots of monoculture trees planted in straight rows that will all die off in 30 years from some new invasive disease. Hideous later, but damned good looking for as long as anyone will remember the architect's name.