This does not sound like a high precision project! Also sounds like it will not wear out very fast. So soft material will work fine.
I would make this thing out of PVC pipes and fittings. You can get several sizes for few $ at the plumbing/hardware store. If it needs to be longer than the lathe, or needs to have a strange shape, then just glue two together .... after turning ... and external couplers are available. By the way, this is a nice material to start learning with and machines nicely. I have used this for all sorts of things. You can also purchase caps, couplers, reducers, etc and can machine them into all sorts of shapes. I have even glued parts together to make them thicker etc and then machined them. PVC is soft and so almost any tool out of any metal will work as cutting tool. Using a piece of soft steel or mild steel or a tool steel to make tools works ok. It is an excellent way to start to learn how to grind a cutting edge or point.
Dave L.