The difficulty you may find iss't so much the left as the right hand. You may finger-pick, flat-pick or whatever. I have only tried a dulcimer a few times and, yes, the fingering was quite simple but I was told in the shop I tried it in (Eureka Springs, Arkansas) that I should stop trying to 'pick' and just strum the lot in one direction all the time. Suppose once you get that habit it becomes easier.

Good luck

Dave