The Milwaukee Brewers pitchers had hits in every game from Sat July 12th to Mon July 21st. That's a streak of 6 games. Unfortunately that streak is no longer.
However, CC Sabathia has a two game hitting streak going of his own. Perhaps he'd have a
3 4+ game hitting streak, but he was pulled in his first game as a Brewer after a "mere" 6 innings, cheating him of at least one AB (and Joe Dillon DID get a pinch hit for David Riske in that game). In his previous and only other hitting-eligible game (6/21 Cleveland vs the LA Dodgers) he was 1 for 3 with a homerun in 7 innings of work.
I would have to confirm this by going back to last years' games, but seeing as I'm too lazy for that, let me make the grandiose claim that if CC works for 6 2/3 inning or longer, he will get a hit.