I had no idea what it was before skimming the linked article, but after seeing the images of one in use I would anticipate string snagging on the top a lot, and the verticals being under a lot of stress. I would use wood or metal dowels/rods for the verticals, but the top piece is probably going to be a pain if you don't have a way to make a nice round.
For wood top without big machine tools I would be tempted to use two sizes of hole saw or a drill hole saw and a drill bit (not sure about the actual size, bigger would be double hole saw and smaller hole saw and drill bit). To center a hole saw, stack another piece of wood under and clamp them together outside of the circle, drill a center hole all the way through, then use the hole saw smallest to biggest only through the top piece. If the smaller hole is a drill bit size then drill the center pilot hole smaller, hole saw the outer circle, then the center hole bit size through the pilot hole. Then sanding... I would put a long bolt through big washer, the work piece, big washer, then nut, mount it on a drill and use sandpaper on a block and let the drill do the hard part. The center part I would reverse it and somehow mount sandpaper to the drill probably use larger die grinder sanding bits. If you have a die grinder or dremel use that but I've used a drill as a die grinder many times.
Printed top maybe either abs/vapour smooth which will be fumesy and toxic, or whatever plastic and sanding.