I don't know any archaeologists that think Norse greenlanders spent their entire lives farming in the fjords. We shouldn't discount that the medieval Norse wer

I don't know any archaeologists that think Norse greenlanders spent their entire lives farming in the fjords. We shouldn't discount that the medieval Norse were among the most prolifically literate societies of their day. They wrote a lot, which is why we have so much information about Norse Greenland. It was primarily a local subsistence economy focused on extracting marine resources to trade back east. Greenland and the high north was therefore the center of Norse activities. L'anse aux meadows seems to have been a comparatively minor, sporadically occupied staging point. The Norse were expert expeditionists, but expeditions are hard and continental North America very remote. Declaring it "not difficult" to travel inland (for unclear / no obvious reasons) is premature. It probably happened to some extent, but we're not talking anything remotely close to the midwest, or even the modern US in all likelihood. Moreover, the basic model for preservation we use involves exponential decay terms. The odds are huge against us finding anything left by a minuscule population sporadically present for a short time (almost certainly <200 years). As for genetic studies, Native Americans are relatively well-surveyed. Genetics is hard, but it's pretty clear to everyone that the white tribe myth has its roots in colonial cultural narratives, not lost Norse explorers.