Google is showing me a few spots I never knew existed, like the "Tavern on South" in the Holiday Inn Express immediately west of the stadium (FYI, I tend to abbreviate Lucas Oil's name as "LOS"). I don't know if it's any good, but it's showing up on Google Maps.
Really, though, there's plenty of decent stuff not too far north. Both Claddagh Irish Pub and The Old Spaghetti Factory are not too far from there, just a few blocks north and east of LOS.
There's a place I've heard of but have never gone too that's directly east of LOS: The Slippery Noodle Inn. I don't know anything about its food, but I've never heard bad things about the business itself. On the contrary, it seems to be a well respected spot by locals.