Give this a try:
(not a speed drill)
After drawing with your strong hand rest the point of your elbow ON your hip--you may have to scrunch up to do this if you are over weight. walk around the house. You will notice your hips stay at a pretty even elecation, and you can use this to index your environment. Its possible with practice, to draw and engage targets at a less than casual pace from the hip. Maybe its not tactical but it will sure impress your friends.
On Close retention: in order to keep from shooting yourself accidently another trick is to push your weak elbow out, your fist of your weak hand in your chest or strong shoulder as you draw and engage, keeping your muzzle slightly down. Enagage, backing away and transitioning to a two handed hold.