How to get coordinates along a specific road?

As an example with overpass-turbo:

[out:json][timeout:25];
// gather results
(
  // query with id
  way(id:200820110)({{bbox}});
);
// print results
out body;
>;
out skel qt;

or

[out:json][timeout:25];
// gather results
(
  // query with name
  way[name='Schmidtsdrift Road']({{bbox}});
);
// print results
out body;
>;
out skel qt;

should give you what you want. Alternately after //print results you could have out geom; but as far as I am aware the output will not be 100% compatible with the normal OSM XML format.