Alternatively you could try a leaner diameter needle as well if you find the H a bit burbly. Others have had success with their 2012's using the N3CJ paired up with a 42 pilot.
You can also order optional half clip richer needle N3Ex to really fine tune it in. One Australian dealer is jetting their 2012 models with 40 N3EH#3 178 for sea level here.
Suzuki needles NEDx and NECx also work well for a very clean and linear response but I personally find them a bit unexciting for my riding style. A quick search in the 2T jetting section will have you well and truly informed. Then you always have the JD jetting route as well which many have had success with too.
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