Although i don't like the amp at all its close to your budget and its a good sub
Amp install kit: Absolute KIT-4 Complete 4 Gauge Amplifier/Amp Installation Kit
Amp(theres ALOT better amps): Hitron HPA2000.1D (hpa20001d) 2000W Max, Pro Series Class D
Subwoofer: SSA Store - Sundown Audio SA-10 Subwoofer
Box: Sonic Sub Boxes 1H10-0.7-BLACK (1h1007-black) Single 10"

Just keep in mind that amps not the best....