maybe the regenerator golem could have your "shipyard" interface, as if it was a stardock, and you could click the ships on/off(standard all on), so those which are "off" don't get regenerated?
Of course, there's fabricators and stuff, but i'd already be happy with just deciding which of my "main" fleet ships the golem regens.
It's pretty nice to have for deeper raids and stuff, i especially started liking the regen golem during shard retrieval. Considering in my current game i first took hold in my "sector" of the galaxy before starting the spire missions...and well, that pretty much means the shard has a LONG way to go, a good part, of course, outside my territory. Having a Regen and a Cursed Golem along for the ride really helps, first in GETTING there, then in getting back.
Other than that, i don't use them much, mostly sitting on a defensive world not seeing much action.