The Hammerheads advance to the Florida State League Championship against the Lakeland Flying Tigers.
The Mets trailed 6-1 in the fifth before scoring five runs to tie the score.
The Hammerheads responded with a three-run sixth and added two runs in the eighth to pull away.
The Hammerheads had a three-run first inning against Chase Huchingson.
Danny Muno went 3-for-5 with two RBIs. Alonzo Harris homered and drove in two runs. Richard Lucas finished 3-for-4 with a double. Cesar Puello homered and had two hits.