Land Cruiser 200 4.7L V8 2008

What fault does it give you with the crank sensor? The type of fault will give an indication if it may be wiring related.
Seems strange that a crank sensor will be involved in the VSC circuit.
It could be a fantom code, if something stops working properly the diagnostic system has to give a code but if there is no algorithm for the readings at the time the system generates a code that is closest.
Caterpillar actually have a code to cover this, the dreaded abnormal update rate code. Meaning the system is saying something went wrong but I have no idea what.

Please state the actual "P" code.

Andres M
If it is a VSC it is NOT about engine control at any stage, but is "Vehicle Stability Control,. and therefore, you would be looking at something Vehicle Stability RELATED.
Seeing you have mentioned it happens after travel on a rough road It would indicate to me it IS wheel related.
ARE the wheel speed sensors tight in their positions? One a bit loose can intermittently lose magnetic signal from the slotted ring passing it.
Is there ANY magnetic crap accumulated on the nose of any of the sensors? that will NEGATE wheel speed signal. ie a small lump of metal or magnetic FUZZ which flicks around and diverts the slot ring magnetic path to the sensor?
Has a check been done on any loose wheel speed sensor wiring to read it's continuity while the leads are moved around. Any movement of wire loom to wheel sensor may have Fatigued a wire in the cable and it is intermittently losing continuity while going over the roughs.

Are your wheel bearings ALL CORRECT and NO SLACK. If one is floppy and that causes loss of slot ring signal, while cornering or rough road, it could also cause the sudden loss of sensor signal and a fault indicated. Caused as the, slot ring to sensor gap, suddenly gets too large to provide sufficient magnetic transfer to sensor.

How old is the battery?

An aging battery is often the cause of a lot of these symptoms in a 200, in the diesel anyway. The issue often dissapears with a new, charged battery.

Andre's, what country are you in?
Are you aware this forum is an Australian one and the vehicle you own could be vastly different to an Australian variant electronically?

Check this site out. Person had similar issue to you....

fault codes

As already pointed out above, VSC on rough roads check wheel bearings, sensors wiring etc

Could put the code list up again didn't quite get them the first 4 times.
Unless people know what there doing and how to use the equipment to diagnose things on over technically advanced systems I would take it to a mechanic.

We had a Aurion (V6 Camry) throwing up a VSC fault, no issues at all, but turned out to be one of the oxygen sensors in the exhaust. Nothing to do with VSC, but a new O2 sensor fixed it. Not saying that is your problem, but a good mechanic should be able to work out the problem, as it may not be anything to do with what the warning light suggests.