Given the composition of most clan fleets, one or more of those numerous star league destroyers with their big holds would do great for carrying her luggage.
It's worth noting that outside of major conflicts like the wars of reaving, clan warships tend to operate independently by default. The clans tend to break up their warship fleet into single ship groups to support their other forces, rather than using them in fleets. Going back to the "carrying her luggage" note, that might partly be so that they can be used as mobile supply bases for ground forces, which the Kimagure wouldn't do well at. Beyond operating as part of a fleet of warships for those times when things have gone wrong, the Kimagure might likely spend most of its time guarding the home front.