Probably a bit difficult to assess without knowing about the slope/lack of slope, reason for the water being there, water table and whether there is somewhere where the water could go if it was able to be drained off. Those drains you mention could be perfect if there was a direction that the water could flow away, like a stream/river, but also equally might be a waste of time if the water just still ends up pooling. Creating a slope and ensuring that the water moves away might be something to consider.