QuadMesher is pretty good for that kind or job, mush better than InstantMesh.
There is a bridge for the most common 3D package. https://exoside.com/quadremesher/
I would probably clean the mesh a bit further to get a real cage Sub-D version, but it's a good starting point.
Those certainly produce aesthetically pleasing results but for the purpose of recreating the precise dimensions by snapping to the vertices they seem to be too inaccurate.
Hi Andre, probably the OBJ to 3DM wireframe converter would get you a result where you can snap to vertices. It will make a 3DM file that has line segments in it for every polygon edge.