"Bacteria inoculated onto Plastic blocks were readily recovered for minutes to hours and would multiply if held overnight. Recoveries from wooden blocks were generally less than those from plastic blocks, regardless of new or used status; differences increased with holding time."
So plastic gives you more bacteria, and plastic shavings. Stick to wood.
Note that the lignin in the wood is horrible for the cutting edge. Knives on wood need far more frequent sharpening. But in my opinion it is a good trade off.
Note to use solid wood. I've seen cutting blocks of wood strips glued together - impossible to clean and easy to warp. All the disadvantages of every type of cutting board in one overpriced scrap ))
Why do you assume plastic shavings in your food from cutting boards? I googled around about HDPE cutting boards and only dubious SEO sights mentioned plastic shavings.