M. Mikasa spends a lot of time comparing golf and baseball swings and uses the analogy of the club-face being the bat. Check out his videos on YouTube for a start.
I'd hop on your friendly neighborhood launch monitor <that shows face and path> and recreate the shots.
Be sure to use some alignment aids too...
A straight pull means <assuming a center face hit> your path and face are aligned. <say 4° out-to-in path and 4° closed path.
Where does your "stock" fade start? If it starts truly left of target and comes to center <let's say path is 4° out-to-in and face is 2° closed> then your pull is coming, most likely, from closing the face to much <4 and 4>.
If your fade is one that starts center/a tad left and drops to the right <say face is 2° open but path is zero > your path is probably causing issue.
Sans a launch monitor go to the range and see if you can do Johnny Millers 9 shot shape warm up. <google it>.
Try to hit a draw/ fade/ then pull/push then snap left/banana right.
What did you change to make those shots happen? What feels like your miss on course?
There's your correction.