https://imgur.com/a/PpYGnOz
unsure about other UI, but:
you can usually set a seed, and also see the seed of an image you've generated. so generate/load an image you like so you have the seed. Lock the seed. Find the variation seed setting. lock that (on automatic1111's webUI it automatically locks to the main seed) - now adjust the variation strength. If you're doing small images you can make this small, because the variations will be very minor. I set 0.1 - which i use with larger images if i am looking for a specific color smear or something, but once i narrow it down i reduce this 0.05 or below. When you click an image in a UI it ought load all the details into the configurable parts, including the variation seed / subseed, which means you can just keep exploring around individual variations' spaces, too. expanding the strength a bit if you get stuck in local minima (or boring images), and reducing the strength to get the image you want to rescale to publish or whatever.