A note... in the years since the original post, Sophronitis and the Brazillian Laelias (including the little rupiculous Laelias, and the Hadrolaelia group with flowers as big as the plant) have been classified as Cattleya. So what used to be an Slc or an Sl (so that one can make an intelligent guess from the name) is now a Cattleya... doesn't make it easy to figure out what's "mini", now a research project to figure out the parentage and the characteristics of each ancestor of a hybrid. Or, just go to a trusted grower like
Sunset Valley Orchids who does their own hybridizing, specializes in the minis, and can clearly identify what can be expected.