Thanks for the reply! You are my MapGeek in Shining Armor!
Tried using that setting, but an error still occured. The dialog box is different this time, now it says, "Geometry Not Valid for Target Datastore."
The error from before implies that it doesn't like the arcs - however it doesn't appear that there are any arcs in here. Map is seeing all of the objects on the layer as polygons.
Still stumped!