i am by no means an expert, just starting out my self but it does seem like you need more weight. also what helped me learn to go rope less is if you are regular foot hold the rope in your left hand, with your right hand squat and reach out and try to touch the wake. this puts the weight on your toes more and points the board at the boat. when you are ready to drop the rope, just drop it, don't try to through it.
hopefully this is good advice, it is what helped me and i have gotten others rope less this way. good luck