, don't feel you have to abandon techniques you developed playing the guitar. I also came to the dulcimer from the guitar, and when I bought my first dulcimer I got a 12-pack of those pointy, triangular, Herdim picks. I never took to them, gave them away at a festival, and went back to the same Tortex picks you use. I tend to use the green .88 ones when there is a little more slack in the strings and the blue 1.0 ones when the strings are nice and tight. If you are only strumming across all the strings, those big, pointy, floppy picks are fine. But if you want to flatpick and play long single-note runs, you need a bit more control.
Since noter/drone players can handle higher action than those of us who fret with our fingers, a lot of dulcimers are made with higher action. By all means, do what you can to get the action as low as possible without causing any strings to buzz.
It seems you are well on your way to ensuring you are comfortable playing your instrument. That will certainly allow you to progress quickly.
Dusty T., Northern California
As a musician, you have to keep one foot back in the past and one foot forward into the future.
-- Dizzy Gillespie