I like Cliffs idea and might try it.
One trick I use for putting practice is to put a white plastic cylindrical pot in the hole (I use an old Chlorine pot from a hot spa supplies - but anything the same size as the hole would do as long as it sticks up a bit). Then from anywhere inside say six feet I putt to the hole and try and hit the plastic pot.
The pot has a second function - as well as being an obvious target, it also saves fishing the ball out of the hole!.
On the assumption that the ball wont go in unless it is over the hole, hitting the pot is a step towards success. Once this is achived successfully, I remove the pot and start trying to hole a few.
Now then. Forget all this stuff about keep looking at the place where the ball was and listening for the ball drop. Don't do that but rather line the putter face at right angles to your line, then look at the hole and hit the ball along your predetermined line. (Remember that a dart player looks at the board when he is throwing a dart - not at his hand!)
The first exercise is good for line, the second exercise good for length. Combine the two and you're there!.
See you at the Open.