The Dodgers catching prospect, who was selected by Los Angeles in the eighth round of the 2003 Draft, smacked a three-run homer in the first inning, a solo shot in the third, an RBI single in the fourth and a run-scoring double in the sixth.
May's previous career high was five RBIs in Double-A Chattanooga's 11-5 victory over Huntsville on July 8, 2009.
His 4-for-5 night raised May's average to .321 over 53 games with the Isotopes. He has 38 RBIs and 35 runs scored.
Jamie Hoffman collected three hits, three RBIs and three runs for the Isotopes. Jay Gibbons and Russ Mitchell had two runs and an RBI apiece, Xavier Paul homered and Chin-lung Hu added three hits.
Rehabbing starter Carlos Monasterios gave up five runs -- four earned -- on five hits over 3 2/3 innings for Albuquerque. Jesus Rodriguez (2-1) picked up the win after tossing 2 1/3 scoreless frames. He allowed two hits and fanned two.
Allen Craig, who went yard twice and plated five runs Sunday, had another home run and four RBIs for the Redbirds on Monday.