Off the top of my head, Mark Hendrickson? (Looked him up - he's listed at 6'9")
EDIT: Mark was drafted in SIX CONSECUTIVE MLB drafts from 92-97. That seems like it must be some kind of record. per bbref
Draft: Drafted by the Atlanta Braves in the 13th round of the 1992 MLB June Amateur Draft from Mount Vernon HS (Mount Vernon, WA),
the San Diego Padres in the 21st round of the 1993 MLB June Amateur Draft from Washington State University (Pullman, WA),
the Atlanta Braves in the 32nd round of the 1994 MLB June Amateur Draft from Washington State University (Pullman, WA),
the Detroit Tigers in the 16th round of the 1995 MLB June Amateur Draft from Washington State University (Pullman, WA),
the Texas Rangers in the 19th round of the 1996 MLB June Amateur Draft from Washington State University (Pullman, WA) and
the Toronto Blue Jays in the 20th round of the 1997 MLB June Amateur Draft.