I also had trouble with F major open chord and developed my own way to play it. https://www.guitartricks.com/forum/thread.php?f=46&t=53549

This works well for me, and what I have learnt is there are many ways to play the same chord, I don't get hung up on playing a chord a particular way. I look at what chords precede and follow and if it's easier to use non standard fingerings then it's OK. it just depends on what works for you