You don't need 1 meg. 1 kohm or so would limit the current to a small enough value. This would be for things like probing leads on TQFP packages where you don't want to short Vcc to ground -- not avoiding faults when probing line voltages. Heat shrink tubing or the new IEC61010-030 compliant probes are better suited for that, but don't do anything when the adjacent conductor is 0.5 mm away.
With moderate resistances you don't have to worry as much about voltage drop. Ideally, the bulk of the resistance is spreading resistance, so the probe doesn't see dramatically higher resistance than the adjacent conductor, possibly less. 1 kohm only gives you an 0.02% error with a typical 10 meg meter.
I still think finding a good material is going to be difficult.