I would just get the one from harbor freight. Cheap and effective. PITTSBURGH AUTOMOTIVE Mechanics Stethoscope - Item 63691 / 41966 / 69913 / 63296 https://hftools.com/app63691
Quoting myself, I just built one of these. I had several extra broom handles and an aluminum threaded piece with the requisite female threads that I chopped down (black piece) -- it was originally for something like a squeegee
The handle doesn't fit the mouth of the jug snugly so I drilled out a white cap and tightened it down. Even before this the rig worked well with a shop towel wrapped around the handle to take up the space, so I have proof of concept. I just wanted something more positive than slipping a shop towel in there as a place holder