You might consider using a truck bed liner product. Professionally applied they are amazingly resilient, but phenomenally expensive.

Purchase and apply the product DIY, and the cost is not too bad. I have had this done in several customers' homes to great result.

Non-slip, chemical resistant, and can be washed down (assuming you have a drain in the basement).

In my next home, the kids' rooms will have wall to wall and floor to ceiling truck bed liner with a center floor drain. That way I can wash them and their messes at the same time.