We have an ammeter on the switch panel which reads about 115A as the keel comes up. Our hydraulic power pack is 1600w so the theoretical current is 133A.
I strongly suspect that almost any 12v 200A relay would do - such as Durite 0-727-09, but I have no direct experience to offer. If you prefer something in a metal case, then something marketed as a 12v 200A solenoid would be a good bet.