Did you guys ever try making the bases like 'double cards' you could fold in half? That way the bases could stand up off the table. If the same thing was on both sides it could be read no matter where you are sitting at the table plus the bases would stand out more from the jumble of other cards already on the table. Just thinking I might homebrew that and give it a whirl.
Not a terrible idea to somehow make bases easier to read by all players, but we typically play at a table about the size of a card table, with a player on each side. A standing, 2-sided card would be really easy for 2 players to read while virtually impossible for the other 2 players.