Great idea! But do you need a plug at all? Instead, could you simply cover the sprue with plastic wrap?
Also, what about making a two-piece mold that snaps together along the seams? The two pieces don't have to be equal in size; the bottom one could be the majority of the mold, with the top one being more of a lid with an edge around it, and a sprue on top. I can see it in my mind but am having trouble explaining it.
We gave one of our grandsons a 3D printer for Christmas, and he's having a blast with it. If you come up with some soap mold casting designs, I know that he and others would be interested in purchasing the design files. That might be a nice "product" to add to your soapy business.