Turris isn't a "checking center" at all. He's a soft 2C offensive center at best. If you put him in a 3C role and on the PK, he might skate well enough and have generally enough IQ to not completely cripple your team or anything in that role, but he certainly wouldn't be ideally suited for it.
For our team, I'm far more comfortable with either of Bonino or Sissons as checking centers. Turris isn't very good on draws, and he's physically shy. Skating and anticipation are pretty decent for him, but still, he doesn't come within the ballpark of what people usually think of for the stereotype of a "checking center" anyway.
If he's on what you call a 3rd line, it's probably more of "hybrid" line than a stereotypical checking line. Depending on the wingers, maybe. But don't rely on Turris defensively, I'd say.