This is assuming a fully healthy lineup (minus Lizotte), but I think I've come around to this lineup to start the year:
O'Connor-Crosby-Rust
Bunting-Malkin-Rakell
McGroarty-Hayes-Puljujarvi
Beauvillier-Eller-Acciari
Glass-Puustinen
I don't particularly want Acciari in the lineup, but I think they need a 3rd PKing center with Lizotte injured. Once Lizotte gets back, bump Acciari out of the lineup and run with Lizotte-Eller-Beauvillier as the 4th line.
The idea I'd be working with is letting McGroarty, Puustinen, Glass and Puljujarvi battle for the winger spots to play with Hayes and use that 3rd line as more of a 2-way 3rd line, while the 4th line is getting the typical ultra defensive usage that Sullivan has used his 4th line in. I think adding Lizotte and Eller to that line will make it dramatically better at succeeding in that usage than what it was in the past few years with guys like Carter on it. The 3rd line should be able to add some threat offensively while also being sufficient defensively as well. McGroarty and Puljujarvi should be getting first dibs at that spot but they shouldn't be locked into the spot.
I think I'd also extend that "first dibs but not locked in" to Beauvillier on L4 as well. If he's not playing well there, I think scratching him for either Glass or Puustinen is totally valid as well. Have 3 spots in the bottom-6 locked up (Hayes 3C and Lizotte-Eller on the 4th line) and have the best performers play in the remaining spots. I think you can argue that McGroarty-Hayes-Beauvillier and Lizotte-Eller-Puljujarvi is a better set up bottom-6 anyway, so I don't want to purely lock Beauvillier in on L4.