Among the 3 you mention, I haven't tried Big Banger Original. However, I would say the TiMO and ALU Power are exactly the opposite. TiMO is specialized for control while ALU Power is for power. I'm currently using ALU Power Rough on main and TiMO 17-gauge on cross, both at 57lbs on my nSix-One Tour 90. For me this is the great alternative of ALU Power Rough and Syntronic Brio hybrid while I feel that TiMO holds tension longer than Syntronic Brio (that's generally one of the characteristics of Luxilon strings, good for people a bit lazy to get new string job such as me
). Previously I use ALU Power alone and it was a bit too harsh to my elbow as well as not very good on control and feel. Now my problem is generally fixed by doing the hybrid, especially important to nSix-One Tour 90 such stick not offering too much touch/feel originally.
Indeed, I've also demoed the Prince O3 Tour. Good mobility, power and spin, but not enough feel (most likely due to the large string holes). I would also agree to get the tension a bit higher than stock recommendation for initial try, as well as add a bit weight to make it feel more traditional.