I've been out of market for a while. Here's my rundown:
If you have or are going to get cable/satellite, that's the best option. Get Center Ice as part of your cable package and then you are golden. The only times you'll have a problem is when the Isles play the Blues (but it will be on the local channel that the Blues play on) or if we play in a nationally televised game (which you would get on that station, and is limited anyway).
Further on the cable/satellite option, I've found DirecTV as the very best option. In my years before cutting cable, I got every game in HD and SD for both broadcasts (so 4 total feeds). Sometimes when they play a Canadien team I only have the SD option for the Canadien feed, but both HD and SD for the Isles feeds.
Next best option is going with the local cable provider and getting Center Ice. The main drawback is sometimes I didn't get an HD feed for the game, but your mileage may vary and this was a while ago before I cut cable. It was rare, though.
The next option after that is to sign up for NHL.tv, which is not tied to a cable or satellite subscription. For me, the biggest benefit of Center Ice over NHL.tv is the ability to DVR. Being out of town and out of time zone, it's possible you miss the start of some games, so it's easy to just set up your DVR and then just watch from the beginning and fast forward through commercials. You may even catch up and then you are live.
NHL.tv has a 'start from beginning' feature but it is hella wonky. First, you are never actually 'live', so even if you are watching in real-time, you have to be careful about any push alerts, friends texting you, going on social media or this forum, etc. You'll always be a bit behind. Second, the start from beginning gets ruined often. The fast forward only works in 30 second increments and sometimes will hit you with the SAME commercial that you can't fast forward. I saw the Geico He-Man commercial at least 700 times last season. Also, if you watch on your browser and you scroll all the way to the bottom of the streaming page, it shows you the final score even if you are watching from the beginning -- yea, it's stupid. Lastly, watching from your browser (including if you cast to your TV using Chromecast) gives you tiny hiccups every minute or so. It's really annoying and there's no way around it. I've read that others haven't had this issue if you watch through an app (like on PlayStation or Roku or something). Also, if you have NHL.tv and presumably don't have cable, you'll have to figure out another option to stream games that you are blacked out from (national telecasts, when they play the Blues, etc.) -- there are ways, just google it.
For me, I cut cable so I'm forced to use NHL.tv and I stream from my browser and then cast. I deal with the hiccups, got better at avoiding all the spoilers in terms of watching after the fact (since I'm on the west coast and games start at 4pm), and find workarounds for when I'm blacked out (from viewing rights, not from getting piss-ass drunk from watching this shit show for 3 decades).