There are lots of cheap ways to do a star cloth.

With fibre optics, break the constellation down to smaller sections with a number of small light sources, with in the whole field. Rather than trying to run one fibre over the whole cloth from one light.

You can get remnant end of roll & off cut lengths of fibre optics, from a local installer or supplier.

Use old small coffee or food cans, which has a reflective inside, to house the globe. The globe holder can be mounted on the lid or the bottom of the can, so the globe is inside it. The fibre tube can easily be mounted on the other end of the can, aluminium oven foil is also good to mask the light source to the fibre.

Using Christmas budlights taped to a back wall & hang good old black shade cloth in front of it, is a good effect because as the punter in the audience moves their head, the stars appear to twinkle.