A circuit breaker adds protection + manual switching. And it seems to me that you only need the latter. If this is the case I'd use a good relay. Also you could add a current detection circuitry to put a max on the current that opens the relay.
That said, AC circuit breakers have response curves which means that they don't trip instantly when their nominal current is exceeded. So they don't behave like the current limit you have on your lab power supply. You could use a DC breaker (they look the same but rated for DC) but look and understand what the rating and curves (B,C,D..) mean and look like before ordering one.