Big Dave 3 did originally have 180A Turnigy Marine ESCs for its brushless drive! However, between the motors having wildly varying winding quality, off centre robot balance and not being able to SimonK them, we've now moved to the TZ85A, and doubled the number of motors to 4.
Brushed motors, you'll probably do good to look at the Vex Victor BB 300A Speed Controller for Brushed Motors - it's what a lot of heavies use and appears to basically be bullet proof, although getting to silly expensive.
Have you considered joining the brushless revolution? More bang for your buck and you can then modify speed controllers.
Or, if you really want quality (although it's huge and £400) - the Roboteq series are well known and reliable. Here's one that does 150A per channel.
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