At our rural Relay we still read all the names on the luminaries during the ceremony.  People continue walking the track in silence while they are being read.  In the past we have had the problem of there being more then one luminaria purchased for a person during Relay, therefore causing the name to be read multiple times taking up more time.  We do not have electricity at our site.  This year we took a notebook and wrote the letter A in the corner of the first page, B in the second etc.  When luminaries were purchased, we checked the list.  If the name was not on the list we added it, if it was we did not.  This worked for us.