Latest Asashio-class Kai Ni remodel was Michishio with Lv 77 requirement, so your safest level would be 80 minimum, but that's only in the case if she does not need a Blueprint and is only a single remodel like Arashio, Ooshio and Michishio (Though in the case she does need a Blueprint, her level requirement would be in the lower range maybe around 65~75).

If she is a convertible like Asashio and Kasumi though, expect her to have another level requirement after her normal Kai Ni remodel level, though her first remodel level would be lower in the 70s probably. (Asashio was lv70/85 and Kasumi was 75/88).

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