I have a friend that plays on my pool team and he had never been able to draw more than a foot. He always tried to jack up his cue trying to hit on the bottom of the cue ball. All I had him do was level out his cue and aim just below center on the cue ball. Then,your draw distance was the snap/speed of your cue. Give it a try and use some sort of marking the cue ball so you can see if you are hitting the cue ball properly. Also, remember to chalk!!!
deadwhak,
This, and Scott's advice, could possibly be the soulutions to your problem.
Years ago, down in Florida, I was trying to teach a young student of mine (his name was Morris) how to draw the ball. I must have worked with him for over an hour, using all of the best tech talk I could muster, but poor Morris just couldn't get it. Then, another young man walked by and said, "Morris, just snap your wrist like you're snapping a towel." And that's all it took. Within minutes, Morris was drawing the cue ball all over the place. And I learned something that day as well; simple communication, is better communication.
Scott's advice = loose grip
ykndoit's advice = snap the cue
Worth a try?
Roger