I think given the team makeup Burmi will be the first to go and could actually fetch a decent return given he's an RFA. He could probably net us a 3rd-6th pick I think.
It's not worth trading him for a 3rd or later pick...that's not a decent return. Lowry's our only 3rd round hit since 2011. Far more likely to get a Kosmachuk or Glover type player - and not that they're bad, but they're likely going to be years away from a bottom-6 role in the NHL if they ever do pan out.