Anderson was expected to replace Zack Godley in the rotation, but Hale said he is considering using a six-man rotation.
"That would help that, just get guys extra days," Hale said. "With [Patrick Corbin] coming back from Tommy John and all our young guys starting to pile up the innings. But it's tough to do that with still keeping seven bullpen guys. We would probably have to lose a position player. That's a very tough decision to make."
Prior to his four-hit game Monday, Blackmon was hitting .313 with four doubles and three RBI in his last 13 games.
Piersynski hit the homer, his seventh of the season, off Giants closer Santiago Casilla, en route to the Braves' 8-7 walk-off win in extra innings.
This was Pierzynski's third four-hit game of the season, and he is now hitting .460 over his current nine-game hitting streak.
A make-up date for the game has not yet been announced.
Both starters were removed from the game following the first delay, which lasted two hours.
Butler gave up four runs in the first inning en route to seven runs on seven hits over four innings of work. He surrendered back-to-back home runs to Kyle Seager and Nelson Cruz in the second inning and another to Brad Miller in the third. He also struck out two and walked one.
Butler is now 3-8 with a 5.45 ERA. He is winless in his last four starts and has one quality start in those outings.
Crawford slugged a solo shot in the second inning, and then added a two-run blast in the fourth. This was the second two-home run game of Crawford's career, and he now has four big flies in his past seven games.
It was Peterson's fifth home run of the year. He has now homered in back-to-back games after going 27 games without one.
Garcia, who finished the game 2 for 6 with a double and two runs scored, blasted a two-run shot with the Braves down by a run. It was his third home run of the season, and certainly the biggest of his young career so far.
Prior to Monday's contest, Upton was hitting .161 with four home runs and 11 RBI in his last 16 games.
The Braves did not indicate how long they expect Simmons to remain sidelined with the injury.