If you are talking about a true cutting board, I wouldn't think the rubber would work. Especially with a head knife. It occurs to me that an utility knife with the adjustable blade would work with the blade in the lowest notch. Otherwise, wouldn't you slice through everything?
I use the polyboard. A big kitchen one about 12X18". I need to find two that are about 24X36". One for the cutting table and one for the "detail" table.