Instead of using the putting grip, use the grip the way you would for your full swing (now you start to get into a pitching motion). This will allow the wrists to hinge slightly on the back swing and promote a more descending blow. Use a club with more loft to ensure that you get the ball up and out of the rough.
Your lie dictates the amount of energy you will transfer to the golf ball. So if you have a terrible lie you must swing more assertively down and through the ball. Similar to when you putt distance control is dictated by the length of your back swing. You should mirror image the length of your follow through to ensure acceleration through the ball.
Think of the the length of the swing in relationship to arms of a clock: