Conceivably, at a pinch, a rotary system could be used for bringing two liquid phases into contact quite thoroughly, without needing to use the vacuum distillation aspect. The water bath as well as the chillers also provide a temperature control option. As previously mentioned, your piece of equipment sounds like it's way too big (like, anything bigger than 2L is getting oversized). This scale mismatch compared to a typical size of extraction leads to losses from the surface area of the vessel alone, and handling could be rather cumbersome, leading to further risk of difficulties.