I haven't tried it, so take the following suggestions with a grain of salt!
I at first thought that navigator's idea would do it, but this would result in drops throughout the soap, not necessarily where the cuts would be. Your picture shows that the teardrops extend all the way down the length of the loaf.
Having done the teardrop from the May GreatCakes challenge method, i can tell you that it does work to bring the line all the way up for just one teardrop. But only for one, not multiples as in the pictured soap.
I think the only way to get the same effect with multiple teardrops is to lay down the drop color in a line after pouring some base, position and fasten a thin hanger in that line, then perhaps pour some more drop color over the hanger. Pour base until you get to the level of the next teardrop you want and repeat with another hanger. Last of all, pull each hanger straight up.
I would think that batter consistency would be key, as the rounded shape of the teardrop is affected by how easily the batter in those thin lines spreads out after laying them down. The May challenge achieved this shape by the side pour "pushing" the teardrop into an ever thinner line as you fill up to the top. With hangers, you'd be "pulling" the drop batter upward.