Surely the easiest way to settle beer type bets about which control should be put in first is to move nothing and just watch what happens for the first second or two after an engine is chopped (you are in a sim after all) If the nose slice very clearly happens first then the thing surely needs rudder first and if it mainly rolls then it needs aileron. I suspect the vast majority will need rudder first. To need aileron first the design has probably got too much rolling moment due to sideslip to be certificated.
When it comes to keeping drag (from sideslip and resultant control deflections) to a minimum after control is regained my guess is it will not be too obvious whether you have got it just right and it could be very type dependant.