...does anyone know the difficulties involved in such a dig???
Yes. Doing such a dig in the US would be difficult. At minimum you are looking at a lot of money and effort. I've run several digs where we had to pack everything in on mules--just a few miles--and that gets to be a logistical nightmare pretty quickly. And that's before you try to dig into frozen ground on the top of a mountain miles from anything.
Also, evangelicals are not the ones to do such a dig. You saw how easily they were persuaded that they had the "truth" and how easily they fooled themselves. Such a dig needs to be done by professionals who know what they are doing and who are skeptics.
Religious belief does not constitute scientific evidence, nor does it convey scientific knowledge.