Terry Whisnant had 14 points on 5-of-7 shooting and Okaro White scored 13 for Florida State (5-4), which snapped a three-game losing streak.
Justin Edwards had 19 points and 12 rebounds and Dimitry Akandra-Coronel had 11 points for Maine (3-6), which shot just 33.9 percent (21 of 62) and had 19 turnovers.
Snaer had 12 points as Florida State (5-4) pulled ahead 41-27 at halftime.
Florida State, which shot 43.8 percent (32 of 73), played short-handed. The Seminoles were without guard Ian Miller (foot) and forward Terrance Shannon (neck). Center Kiel Turpin played with a mask on his face after taking an elbow during practice. He had five points.
Florida State started three guards -- Snaer, Whisnant and Montay Brandon. The group combined for 37 points.