We've done this in the past, but as far as I know there are no tables in TSL other than those at Woody's Lunch Box. We ended up carrying our trays all the way to the tables outside the Commissary, which were the closest ones we found. Our food had cooled off quite a bit by the time we got there, so it wasn't the best situation.
This was January of 2020 by the way, before the closure, so I don't have experience of how hard it is to find a table there now.