Guessing at this moment I think it goes like this:
Buff. 1. Dahlin
Car. 2. Svechnikov
Mtl. 3. Tkachuk (possibly Zadina)
Ott. 4. Zadina (possibly Boqvist or Tkachuk in that order)
Ariz 5. Boqvist (or Tkachuk if he's still available)
Det. 6. Bouchard (maybe Hughes or Boqvist if he's still there)
Van. 7. Wahlstrom (possibly Hughes, Bouchard or Dobson)
Chi. 8. Hughes (possibly Wahlstrom if still available)
Ran. 9. Dobson (possibly Kotkaniemi)
Basically I don't think Zadina is going to fall any further than 4, Tkachuk any further than 5, Boqvist any further than 6. Hughes or Wahlstrom become available to the Rangers only if someone goes off board and takes a shot at a Kotkaniemi or a Veleno.