I'm coming late to the party, but better late than never.

My opinion is that until Saudi Arabia opens their borders to US tourists in the same manner that the US does for Saudis, the US should refuse entry to any Saudi who does not meet the same restrictions that Saudi places on foreigners.

In other words, if you don't have an invitation or aren't part of a government sanctioned tour group that maintains positive control of all the tourists, Saudis are not getting in.