I believe they still open the site to the public on certain weeks in April and October.
IIRC it is open the first Saturday of April and October. It mentions the first Sat of October and that the site is open in April here - http://www.wsmr.army.mil/pao/TrinitySite/trinph.htm
It was open for the 50th anniversary on Sunday July 16, 1995. There were several hundred to a thousand tourists like myself and perhaps 50 protesters. Of course the media only focused on the protesters.
The only time I ever felt personally insulted by Rush Limbaugh was the Monday after when he dismissed all visitors there as protesters who had no jobs to go to and hence the time to visit there. (I’m still an avid fan and 24/7 subscriber though and hope he’ll apologize with a free nobel prize nominee mug or something:))
Yes...I am aware of the October and April tour dates.
This is something that has been on my to do list for some time.
Here is a great website called “The Bureau of Atomic Tourism” -