No particular order best teams never to win a state title (looking at total history) would be New Palestine, New Castle, Roncalli, Beech Grove, and Hobart - I am 100% certain I am forgetting a few teams, my apologies.
Sorry I know I am missing a few wrestlers off the top of my head but the Hobart teams with Galka, Cosgrove, Dillon, and Francisco Porras was built for a tournament format. But ran into just super solid teams from top to bottom like Mishawaka, Lawrence North, EMD, and Perry Meridian if memory serves correctly.
Beech Grove in the 90's & early 2000's were an extremely tough team. But specifically the Steven Bradley led teams were tough. Solid from top to bottom and runner up to EMD one year (in the state series not team state). But in 2001/2 they had Baker, Price, Gibson, Hobbs, Harris, Ryan Williams, one of the Bradley's (Tim???) and others.