eBay saved search comes through again! It appears that the Giants updated their Fan Fest photo card design a tad for the 2018 event, and I just picked up a lot of cards on eBay that included a previously unknown Hensley Meulens card.
In this new design, the team logo is now in a square that fits within the edges of the name and team bars, the player name is slightly wider, and the team name and position are now italicized.
The other cards I have found with this new design are as follows:
Tyler Beede
Ty Blach
Matt Herges
Evan Longoria
Andrew McCutchen
Conner Menez
Hensley Meulens
Alyssa Nakken
Buster Posey
Pablo Sandoval
Rick Schu
Curt Young
I'll update the list as I find more.
--UPDATE--
Slight update here, as I just dicovered that there was another design change that I missed. Between the 2013 design and the 2018 design, there was subtle change that I am now calling 2016-2017. Swiped from an eBay listing, the Ehire Adrianza features the newly discovered design, and the Jeremy Affeldt the earlier design. The two differences being on the 2016-17 design the team/position banner features the larger, italicized text, and the banner does not extend beyond the end of the logo circle.
For this 2016-17 design, I have identified the following players, so far:
Ehire Adrianza
Brandon Crawford
Gorkys Hernandez
Hunter Pence
Buster Posey (crouching)
Buster Posey (throwing)
Jeff Samardzija
Albert Suarez
Mac Williamson