FWIW
My view is:
You pre-program these things. Trust the process.
As non technical as it sounds you probably need to be btn the 2 things u mention.
Pre program the horizontal hinge then allow it to happen - no concious roll needed nor desired.
This is what comes to mind.
Here is an excercise my GSED gave me. I had a million thoughts when I saw him
Have at it - and hit it as far left as you possibly can (kill the ball) - then hit it even more left.
What u will find is you can hit it way left with a ton of "zing".
Once u are satisfied with that:
Hit it as far right as u can.
Then even more right.
Do whatever u need to do to do this -change yr stance etc ( if u feel u need to)
What u will find is there is a limit to how far u can hit it right.
all of the above assumes the imperitives are in play ie. non of the above means that u will polish the ball - u can compress it with any of the above
Then combine the 2 - result will be a powerfull relatively straight shot.
Hopefully 1 of our experts can tell us more abt what is "behind" the above excercise.
Chris