Don't know if you're still taking 2B possibilities. Here are some more:
1995 Luis Alicea -- Boston Red Sox .270/.367/.375
http://365.strat-o-matic.com/player/2786/1690/1/902004 Mark Bellhorn -- Boston Red Sox .264/.373/.444
also plays short and third
1957 Don Blasingame -- St. Louis Cardinals .271/.343/.368
better card than what we have
2003 Juan Castro -- Cincinnati Reds .253/.290/.388
also plays all other infield positions
1974 Doug Griffin -- Boston Red Sox .266/.329/.330 (rh who hits righties, 3 inj, good d)
http://365.strat-o-matic.com/player/734663/1670/1/702014 Howie Kendrick -- Los Angeles Angels .293/.347/.397 (2e12)
http://365.strat-o-matic.com/player/599/2014/1/20142016 Jason Kipnis -- Cleveland Indians .275/.343/.469 (2e13, not sure how we ended up with the card we have!)
http://365.strat-o-matic.com/player/91413/2016/1/20162005 Hector Luna -- St. Louis Cardinals .285/.344/.409
plays all positions except catcher and 1B
1978 Bob Randall -- Minnesota Twins .270/.329/.321
also plays 3B
1963 Jake Wood -- Detroit Tigers .271/.330/.407 (better card, also plays 3B, 3 inj)
http://365.strat-o-matic.com/player/43153/1660/1/601920 Ralph Young -- Detroit Tigers .291/.382/.347
mainstay of late teens/early 20s Tiger teams