Liles had a pretty strong season, so I'd be surprised if the only offer he gets is a PTO. As a Canes fan, IMO, he'd be a good pick-up for the Oilers and he'd be cheap. He can play right or left, he was a fantastic mentor for the Canes young D, he was used in all situations (PK, ES, PP) and still can skate well and effectively move the puck. I was leery when the Canes picked him up from Toronto, but he did well. If Hainsey or Wiz were UFAs this year instead of next, I'd have no problem with Canes re-signing him for a couple years.
He's a stabilizing presence on the blue line and think he'd do well with the Oilers (as long as he doesn't cost too much or want too much term).