I think this question is more about plastic sphere production than acoustics. I think you can use anything from an acoustic perspective. Of course some won't be optimal choices, but you can compensate with thickness and other parameters. I would be worried mostly about production costs, myself. How many of these things will you be making?
You'll need a clear idea of the design details, things like internal flanges, post mold machining, cosmetics, etc. in order to know what the good choices are. I would draw up a design of what you want first, and then shop it around to fabricators to get their input. Then you'll completely redo the design.
So, I'll toss out roto-molded HDPE for starters, but I really don't know.