I make 24lb 50/50 masterbatch which heats up quite a bit while making. Once all the lye has dissolved, I will put the lid on the bucket loosely until it's cool to the touch on the outside of the bucket, then I will weigh it out, and any evaporation that has occurred I will replace then put the lid on tightly at that point, until I am ready to transfer the solution to my lye container.
When I want to make a milk or beer soap, I will either add the remaining liquid I need for my recipe to the 50/50 solution, or I will just redo the lye solution with 100% milk or beer.