No, Sutter has not tried everything. There is a line-up to be made that makes plenty of sense:
King-Kopi-Williams
Frattin/Brown-Carter-Toffoli
Brown/Frattin-Richards-Vey/Stoll
Clifford-Stoll/Vey-Nolan/Lewis
This line-up:
Puts Kopi with Williams, which he needs desperately
Puts King on Kopi's line. Where King goes, the offense follows
Puts Carter with Toffoli, it worked quite well last year
Gives Toffoli top six minutes, which he needs
Keeps Carter and Richards off the same line, they are bad defensively together
Puts Vey into the lineup, he needs to be playing
Last, and most importantly, doesn't put an offensive black hole on the first line.
If you want to shake things up, this is the way to do it, NOT put Lewis on the first line