I read this in an Adrian Dater post: Elliotte Friedman heard (though could not get it confirmed) that Calgary offered Colorado their 3 first round picks for the first overall. This was not enough for Colorado. Dater goes on to explain that according to his intel, the Avs will not go lower than 3.
What does this mean for the cost of the Stars moving up? Well, for one, they most likely won't be doing business with the Avs. Probably not with either Florida team either, based on Dater's take. Jones, McKinnon, Drouin seem to be tier 1a. A trade with Nashville at 4 might be possible, though Barkov and Nichushkin are often listed at 4 and 5 in many mock drafts and are perhaps the 2nd tier of the knock-yer-socks-off picks (1b, if you will). Calgary (6th pick) is trying to move up, so they are not likely a trade partner to move the Stars up. Edmonton might be a possibility at 7. At least at that point, the Stars would be guaranteed to get either Monahan or Lindholm (or a higher rated prospect).
"They (Colorado) may trade down to the No. 2 or 3 pick. But for that to happen, they'll need to get a very good established player or two, along with no worse than the third pick."
To swap positions with Edmonton would probably require a good established player plus a good prospect (probably defensemen). Daley + Morrow? I'm not sure it is worth two such players to change a Shinkaruk/Horvath into a Monahan/Lindholm. If this were the cost of moving to 4th (Preds' pick), I would probably do it. My guess is: The Stars do not move up if it costs them as much as or more than an NHL regular and a soon-ready prospect.