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Find a different way to spin it... First off I would bet the E&S policy is under a co-insurance clause 80% or 90% with ACV not RC.
With those two differences you should be able to explain why the extra money is worth spending.
As far as straight up pricing... non admitted carriers are not regulated as hard as standard carriers. They write their own policy forms and for the most part their own rates. Typically if a standard company will quote a risk it is most always cheaper, especially after policy fees. You could have a rare situation.
erm...this is auto we're talking about. I know in other lines of business, nonstandard often equals non-admitted, but in good ol' personal auto, you just have an admitted nonstandard carrier. Also being auto, it's always ACV, unless it's a collector car policy, which is agreed value, so no co-insurance clauses necessary...