N.W.
I spent years working at a drafting board and always preferred the higher tables where I could work standing up. I still have an ergonomic adjustable chair so I can stand, lean on the chair or sit. I like standing up to work because it's easier to use the entire work surface. You can also walk around the table to access all sides without twisting your shoulders, neck or back. One thing I find that helps is to have at least 2 swing arm lamps so you have good lighting without shadows, no matter which direction you are working.
Instead of using foam core board for cutting, you might want to try "borco". It's a thin vinyl sheet that provides a smooth surface for drawing, but might also work for cutting and pattern drafting. Linoleum does the same thing and may be easier to find at a home improvement store.