@trevorflowers @sxpert Quilters sometimes want really big cutting mats, so that might be a good place to start searching.
https://www.mybinding.com/rhino-self-healing-large-cutting-mat-no-grid.html is available in 4'x8' so would give you one replacement surface. It's white PE, so maybe not "rubbery" enough for you?
They used to have linkable 2'x4' modular self-healing cutting mats but those have been discontinued.
https://usartsupply.com/products/usa-cm-40x60-gb is 40"x60" so not quite right, but would it be good enough?
Other than that, I also thought of rubber (not vinyl) anti-static mats; should resist oil fine. I think mine was 2' by 4', and I think this is what I bought and the seller from whom I bought: https://www.ebay.com/itm/282247916572