Regarding archaeological “evidence” do you not find the Lehi stone in Chiapas, Mexico to be intriguing? That is one of the clearest objects that corroborates the writings found in the Book of Mormon. Regarding linguistics, I’ve heard mixed reports.I had heard of this stone engraving that some Mormons claim is a depiction of Lehi's dream in the Book of Mormon. Even as a TBM it seemed pretty speculative. But I try to keep an open mind so I googled it and hit the following FARMS article. You can read it, but it basically states that it's not evidence for or against the Book of Mormon and that even Hugh Nibley thought it was essentially rubbish. So, no, I don't find it intriguing, but it is typical of the "evidence" for the Book of Mormon. The evidence against it, on the other had, is pretty solid.
Regarding linguistics the results are pretty iron clad. There are no known remnants of Hebrew in any Indian languages. Furthermore, the vast numbers and varieties of dialects requires thousands of years of development, not a couple of thousand years as the Book of Mormon would show. I'll refer you to B. H. Roberts Studies of the Book of Mormon for more on that topic.
Of course, the current Mormon apologetics seems to state that the Nephites and Lamanites were an essentially insignificant population whose genetic and cultural impacts were swallowed by a much larger non-Hebrew population that pre-dated them. I guess they ignore the statements of the Book of Mormon, Joseph Smith, and almost every subsequent prophet.
The burden of proof lies with the Mormons, not me or you. However, the only proof they are willing to stick to is their individual testimonies based on "feeling the Spirit."