We visited Khami in 1990, on a day trip from Bulawyo (hitching). It was great to be alone at the site - there weren't even staff there to take payment and to walk around with no guides(people ,signs or maps). but it did mean we didn't have much information on what we were seeing.
We also hitched to a round church in a local village with lots of murals - biblical stories but where all the key figures were African - it was this which was the highlight of the day ( I wonder if the church is still there? )