How about both? Use a core of plywood and glue on your own, shop-cut veneer? You can make the veneer thick enough that it will stand up to the use far better than the 1/42" plywood face veneer. I think this is the route Marc took on the Gaming Table project going on right now.
Have you considered the Veritas saws? Good saws at great prices. You could easily pick up both a dovetail saw and a crosscut saw for less than the price of a Bad Axe saw. (They are US$69 each, and they might be on their Cyber Monday sale which would be even cheaper).