The Tigers won the defensive struggle against the team from Florida in the first round of the Phoenix Cactus Jam.
Battle Ground lead 16-11 at the half and increased the advantage to 26-16 after three quarters in the game played without a shot clock.
Devin Johnson had 13 points, 12 rebounds and five blocked shots for the Tigers (4-3). Andrej Besara led the Tigers in scoring with 15 points and also had four assists.
Battle Ground next plays Concord (Del.) in the semifinals on Monday.
BATTLE GROUND 38, RANSOM EVERGLADES (Fla.) 27
BATTLE GROUND (4-3) — Joe Carroll 5, Kellen Butler 0, Cole Scheibel 0, Landon Hall 0, Kobe Ford 4, Zack Palacios 0, Devin Johnson 13, Andrej Besara 15, Leland O’Hanlon 0, Daelon Floyd 0, Roberto Brizuela 0, Keaton Hoots 0. Totals 16 (3) 3-7 37.