I am currently doing an STS rotation in which I do STS on M, T, and TH (cardio on W & F) and a total body workout on Saturday. The total body workout I am choosing varies. For meso 1 of STS, I am sticking to endurance/high rep workouts like High Reps, Muscle Endurance, and Power Hour. For meso 2, I am going to use Muscle Max, Maximum Intensity Strength, and STS Total Body. I don't think I will be doing a full body during meso 3 but things may change between now and then.
So while I am doing this now, I am only at the end of week 2 so I can't tell you what kind of results I will see. I can tell you that I don't feel too tired or sore from doing STS during the week to not do the full body on Saturday.
All I can say is give it a shot and see how your body responds.
Good luck!