Pan lubing is a sloppy mess and entirely out of the field of tumble lube, which needs to be a fast high production thing.
I don't recommed blue soft for tumble lubing because it is quite tacky and as you stated, doesn't turn liquid as easy, though it does at about 212 deg F or so. Use it if you have some. If you have to order lube, get commercial as it's the least tacky and performs just as well. One solid stick can lube up to 10,000 38 caliber revolver bulelts, so it is the epitome of cheap!
Put your bullets in an aluminum cake pan with only one layer and that quite loose. Heat in a kitchen oven to about 220 deg F. Remove the pan and touch a stick of lube in the bottom till a little melts off. Roll the bullets around gently till the bearing surfaces are completely wetted. Don't use more lube than just enough to wet the surfaces. Reheat if and add more lube as needed then let them cool. They are ready to load and shoot.
If using most LBT designs the forward drive band outside the case will probably hit in the cylinder throats. Either size so loaded rounds chamber easy (revolver) or shoot unsized and seat deeper in the case so a light crimp can be run over the ogive. This is not a method for heavy loads or gas checked bullets. You can expect superb accuracy if you keep velocity levels inside the limits of tumble lubed bullets, which will be about 1200 fps max in hot weather and up to 1400 fps in cool weather. This from a gun with smooth bore. It works great for auto loaders, without sizing, and for plinking loads in fixed barrel guns such as rifles and single shot handguns.