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I think we must look at what starts nose wheel shimmy in the first place.
One possibility I have not seen mentioned is wheel balance.
Static balance is not necessarily adequate for a wheel of this configuration
due to the ratio between the wheel diameter and the wheel width.
if balancing weights are applied to only one side of the wheel as could occur
in static balancing you are very likely establishing an automatic shimmy in a
small diameter wheel/tire assembly.  
This would be more likely to occur at higher rotational speeds which seems to
be the case in instances I have seen reported.
Hope these thoughts add to the confusion adequatyely.

Hank - San Mateo, Ca.
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