i had this problem for a long time, and never got to where i could play it corectly.. so i started playing it incorectly,

i currenlty play the fmaj by using my
index on 1st fret of high e
middle on first fret of b
ring on 2nd fret of g
pinky on 3rd fret of D

i know this is a poor way to play and will result in uneeded movement when switching to most chords,

also i sometimes just do the f barre chord and only strumm the high srings if i want this sound.