This seems like an almost mathematical impossibility, but the Southland Conference has only two teams with a winning record - Incarnate Word and Southeastern Louisiana. UIW lost to Southeastern Louisiana.
So, UIW played only one conference game against a team that finished with a winning record, and they lost that game.
As best I can tell, UIW played only two games against teams with a winning record - SELA and 6-5 Prairie View A&M out of the SWAC.
Furman has played 6 ranked opponents.