Suggestions

I think I would use this as an excuse to experiment with simulating a TDR with a pulse generator and an oscilloscope.

I presume that it is a simple loop of one piece of wire buried shallow.

If there is still some current flowing in the loop, perhaps a compass might deflect near the break in the loop where the magnetic field would change.

another suggestion:

Apply a very high voltage to the ends of the loop - like say the HT volts from an ignition coil. You could use the spark plug lead from your lawn mower. The break is probably a fracture having a very small gap. The high voltage should cause a spark gap transmission which could be detected as a burst of static by a portable AM radio. Shield the radio on one side with some aluminium foil to make its reception directional. Tune it away from any local stations and hold it near the ground.

Someone would have to keep pulling the lawnmower starter while you run around with the radio, so it would be better to make a circuit that repeatedly opened and closed the primary of an ignition coil - like an old fashioned electric fence.

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