CG suggestions for June trip - Civil War sites in the west

Well we accidentally stopped at the Valverde site (in NM). We pulled off the road at a turn-out and then I noticed a piller with a metal plate. The plate informed us that this was the site of the Valverde battle. Flat high desert is all that can be seen. I had read a book about the battle not too long before so I'd heard of it, but the actual site is completely uninformative unless they've done some work there since we were there.