You can't completely remove the mess, because lube is just a little messy. What I like, is to buy some lanolin(sheep fat), and dissolve it in 99% isopropanoly, and put it in a spray bottle. Total cost shouldn't be over $10 and it will literally last you the rest of your life. I put my cases in a ziplock bag, spray in a couple times, and shake the bag. Let it dry on a cookie tin, and you are all lubed up.
Edit: From my understanding this is all the dillon case lube is, and I wouldn't be surprised if it is what most of the other spray lubes are.