The LDS and Community of Christ does not point to artifacts of places. Both churche's stay out of pointing to such thing's. I know of no artifact's to point to. Most of the evidences for the book focus on it's internal reliability. LDS scholar's have pointed to place's in the book's they contribute essay's to share this research with the reader.
With Bible place's it's unlike Meso-American place's the name's of Meso-American cities during Book of Mormon time's has been lost. No critic of the Book of Mormon can point to an ancient map and say that city was not Zarahemla. Would the Bible be less true if we didn't know the name's? Scripture is true with or without a map.
Read Brant Gardner's review of Bible verses the Book of Mormon. It deal's with the problem of finding artifacts from large battle's.
LDS FAIR Apologetics Homepage Proof's of large battle's do not alway's exist.
The evidence against the New York Cumorah being the Book of Mormon Cumorah seem's convincing to me. FAIR Wiki has an article on that topic i do believe.