Alright guys, I wasn't sure where to post this so I figured this would be a good place to do so:
As some of you may know (and many of you do not), Island Expeditions are by far the best way for us 110 twinks to get Artifact Power and level up our Azerite pieces. They typically take 6-10 minutes, have 1 minute queues, and reward you 150 Artifact Power for winning.
Now what many of you do not know is that every time you increase your reputation with Champions of Azeroth to a new level (AKA neutral to friendly, friendly to honored, etc.), you gain +15 ilvls on your neck.
I've searched far and wide for ways in which us 110 twinks are able to grind reputation with Champions of Azeroth, and unfortunately, we have basically no means of doing so. The only real way for us to get this reputation is by doing Island Expeditions, because you have a VERY SMALL (I believe somewhere from 1-5% chance) of getting Azeroth's Tear, an item which rewards you with +250 reputation with Champions of Azeroth. I believe that this item drops on any mode in the expeditions, but if I'm wrong, somebody please correct me.
Ultimately, I have concluded that the +150 Artifact Power you get from the expeditions plus the VERY SLIM CHANCE of getting reputation with Champions of Azeroth is BY FAR the best way for us 110 twinks to level up our Artifacts. There really is no other way to grind out neither Artifact Power nor reputation at level 110, but the expeditions are pretty good.
To finish this off, I'm sure a lot of you aren't aware that every time you level up your Artifact, you need 30% more Artifact Power for the next level. It seems most of us twinks are stuck around level 12-14. Well after doing some math, I calculated that you need APPROXIMATELY 70,000 Artifact Power in order to get from level 13 to level 20. (Level 20 isn't anything special, I just wanted to show you how much AP it takes to get that high). 70,000 Artifact Power at 150 AP per Expedition means you would need to do about 460ish expeditions, with an average of 8-9 minutes per expedition + queue, to get that high. And during the 460 expeditions, you also have a pretty good chance to get anywhere from 5-10 Azeroth's Tear.
All in all, Island Expeditions are our best friend if you are at the point where you have nothing else to do or if you're in the mood to grind our AP. After an hour of them, you get about 900 AP-1,000 AP. Do these while killing WANTED NPCs in between queues and doing Missions and you're looking at around 4,400 AP every 4 hours. That's the best you're gonna get at 110.
Good luck to you all on the Artifact Power grind! It is a lot and difficult road once you get to level 13, but it is worth it! ESPECIALLY IF YOU MANAGE TO GET REPUTATION WITH CHAMPIONS OF AZEROTH AND INCREASE YOUR NECK +15!!!!! Please feel free to reply/comment your thoughts/ideas/anything that I might have gotten wrong.
TLDR; 110 twinks should do Island Expeditions if they want to gain AP as quickly as possible.