I wouldn't pick one over the other.
It's a three volume series called "This Land"
They offer all three books in a package deal.
You can purchase them here:
http://www.hillcumorahhistory.com/orderpages.html
As far as your desire for me to make the best case I can for my favorite arguments / evidences presented by Wayne May...
1. I didn't come here to make that argument, and...
2. I don't feel it is something I should attempt to do.
3. It appears you have your mind set against it anyway.
4. I couldn't do it justice, without the photos, maps, and visual presentation of actual archaeological finds.
As I said, I'm not into debating the merits of one argument or the other.
I would simply share that I was raised with the Central American theory. I wasn't against it, even though much of it never quite jived with my soul (in a rather unconscious way). I have not read every source on it, but I have seen and read much on it in my 39 years of life.
Last year I heard about this LDS Mormon presenting a North American theory, and I thought it might be interesting to hear. I had never really thought about the Book of Mormon lands being in North America before, either. I thought it was maybe in Central America, but that some of the lost cities and finds just weren't from the Nephites.
When I left the presentation, I was a convert.
I have not once since that time taken it as my mission to convert others to that belief. I am content to believe it myself, allow others to believe as they will, but occassionally offer it up as another possibility. I direct any who are interested in it to seek out Wayne May's materials, as this is his calling and purpose, not mine. I have been called to witness of other things.