Did some digging on the Mariners batting stats.
The best hitter so far is Dae Ho Lee. He leads the team in both wOBA and wRC+. What's really cool too is that he's doing this despite having a very unlucky BABIP of .217 (league average is .296). It's very rare for a player to have a BABIP that is lower than his batting average (Lee is hitting .281), but the reason this is true for Lee is because home runs don't factor into BABIP and Lee has 4 home runs in just 35 plate appearances.
So in other words, Lee has been killing it in the appearances he's gotten, and as BABIP normalizes, his batting average will only get better. Of course, we probably can't expect him to hit a HR every 9 plate appearances much longer, but overall he's off to a terrific start. He's also, surprisingly, one of the best hitters on the team at avoiding strikeouts.
Cano, Cruz and Smith have all been really good, no shockers there. All have been good at avoiding strikeouts too. This is surprising for Cruz as he's a player known for striking out a lot.
Marte currently has an outstanding BABIP of .350, but his overall batting numbers are sunk by the fact that he isn't hitting for power. His defense and solid OBP make him a valuable player though. He's currently on pace for about 2.4 WAR.
Martin and Ianetta are surprisingly high on Seattle's WAR leaderboard. Martin is there because his defense is good and defense matters a ton at CF, Ianetta is there because catchers are generally bad hitters and he's slightly better than bad as a hitter.
Adam Lind is the biggest disaster for the Mariners so far. He has a league average BABIP, but a massive strikeout rate and a very low isolated slugging percentage. In other words, he's really bad with little indication that he is about to get better. He is really struggling. Franklin Gutierrez has a similarly bleak hitting profile, though he is not as harmful with his defense as LInd is.
Aoki, despite feeling like a solid player, currently has negative WAR. That said, his BB/K ratio is 2nd best on the team behind only Seth Smith, so there's a decent chance that Aoki's bat will warm up a bit as the season rolls on.
Seager has been getting killed by BABIP luck, but otherwise his bat looks just fine. His BB/K ratio and isolated slugging percentage aren't that far off from Robinson Cano's. Once his BABIP luck normalizes, he'll be just like the Kyle Seager we're familiar with. And his defense is still very good.