I didn't know where to post this but it seems like Game 1 will likely be on Thursday with Game 2 likely on Saturday. There are supposedly Eric Clapton concerts Friday and Saturday night at the Garden, but it says that it could moved to Sunday Night if it conflicts with a playoff game.
Since I can't imagine us playing Wednesday and Thursday or Wednesday/Thursday and Sunday, I suspect Game 1 will be Thursday and then maybe Game 2 will be an early Saturday game, although NBC probably wouldn't have the benefit of putting it on NBC regular since Saturday is a really busy schedule for NBC, so it'll probably be NBCSN, regardless of the time, so making it an early game for NBC might not even matter, although it could help MSG if they have to prepare for a Sunday night concert.
There's a chance of Game 7's on Wednesday, MIN-STL and DET-TB, both could go to Game 7's on Wednesday. In that case, Game 1's would not start until Thursday, but I couldn't see our game pushed until any later than Thursday, especially considering we'd probably need Sunday available for Game 2, and it says the Clapton concerts might be pushed back one day, not two. I really don't see us playing Game 1 Friday if there is a game 7 on Wednesday, since we likely wouldn't be able to keep with the two days between games thing that the NHL likes to keep with.