Here's a radical thought - one way of changing the roster and improving the scoring is to move players around. I don't mean the line juggling that AV was in love with, either.
So, here is the new 1st line: Sedin - Sedin - Kesler
With this, you have potentially made changes/improvements to the top nine. Kesler is probably an upgrade on Burr on the first line; he's younger; he shoots right; he is a shooter, not a passer. This could be the only way to get Kesler onto the 1st line while he is still at his (theoretical) peak. I think it would also mature him as a player, under the influence of the twins.
The 2nd line could be: Burrows - Schroeder - Kassian/Jensen
Burr would be the leader on this line. Schroeder would have a chance to develop and show his true talent in a niche that he would be suited to. Kassian or Jensen would add size and either toughness or more scoring skill. Again, Jensen seems to be a shooter more than a passer. Burr would mentor that young line well defensively.
And then the 3rd line could be: Higgins - New guy/Gaunce - New guy/Gaunce/other prospect
Obviously, in one sense, the key to this line would be acquiring a good, experienced C, with good face-off skill. The rest speaks for itself. If we give Gaunce a good chance to make the roster on this line, he has time to develop his defensive skills even more. At the same time, with a good C, he could also contribute offensively. Putting Gaunce at the C position immediately would not be wise. That position has too much responsibility for a young rookie to bear. But it might not take too long for him to take over those duties in a couple of years.
It seems to me that a new coach might be willing to try stuff like this. I hope this is the type of brainstorming that is going on with GMMG & Co. And certainly should be discussed with the new coaching staff. Of course, there are a couple of "questions", that might derail this scheme. First, is Schroeder going to be ready come September (shoulder surgery). Then, would Kes work with the Sedins? Also. are Jensen and Gaunce able to make the team. I'm assuming that the answers to all these questions is "Yes", but it is only an assumption! I'm also asuming that GMMG is able to find a 3rd C (and that shouldn't be an assumption, but is..