What size is the table? I would have a piece of plywood cut to size for one end. If your table is 48 inches cut the plywood 48 x 36. Cover with batting and fabric. Add furniture legs according to height desired.
https://www.lowes.com/pd/Artesian-Ro...1-5-in/3557012
You can add molding around the edges to keep the cutting mat in place. Add your cutting mat. You could skip the batting and fabric too. Small screws would hold that mat on the plywood.
This could be moved if you needed the table for eating later.
PS: I have also used one of the cardboard folding boards. Put the cutting mat on top. This is a very light and portable system to use for cutting on the table.