Here's a quick way to measure batting beyond just run scoring.
In the scorebook, a run is a run whether you edge it and get dropped or blast a cover drive out of the middle: It doesn't tell the whole story of how you are playing.
That's where a new stat comes in: control.
Control gives you a broader idea. Here's the description from Cricinfo:
"[Control is] based on where the ball hit the bat, whether or not it was mistimed, and whether or not the batsman played at the ball. It is a binary measure. A batsman is either in Control or not in Control for each delivery."
I recommend you read the whole article here for a good analysis of Control in the IPL.
But the take home point is that it's easy to measure at any level.
A scorer or a coach can watch and simply note down how many shots were controlled and how many were not. At the end you can turn it into a percentage that tells a story about your innnings.
What kind of things can you see?
If your team scores 200 runs and the control is low (say 60%) you know it's below par. The reverse is true if you score 200 and control is above 80%.
Average control in the IPL is 74%. When you know your average you can look to try and improve it, giving you a better goal for training.
If you see an individual has low control against a spinner, but high against seamers, you know what you need to work on.
I'm sure you can come up with more, so give it a try at your next match and start using analysis to improve your team!