This answer says that Penny Juday, Senior Art Dept Coordinator for TNG, owns the original from the beginning of the series and that another was sold at auction to an unknown buyer.
However, in 2012 LeVar Burton was offering a chance to wear his VISOR as a Kickstarter reward.
LeVar Burton is leveraging a chance to wear the original Visor he sported as the character Geordi La Forge in “Star Trek: The Next Generation” in exchange for a donation to the actor’s more recent venture[...]
Which VISOR does he own?