Very much from a beginners point of view. 6 months of learning.
Try working out and starting your scales from a different root position or going in the opposite direction to what we first learn. As in the C scale can go in either direction of the 3rd fret C position. Learning your intervals or notes as you go.
Can you plot round the fretboard finding all the C notes, then another note
I don't think it can be avoided that the learned movable box shapes are a basic in moving around.
I mean you can learn all about triads and stuff but unless you know music or compose I doubt we know when to use them until we see them on a tab sheet but we would maybe be able to recognise them as they show up.. Take your D chord shape, recognise which of the 3 fingers is the root note, keep moving up the fret using your scale intervals and see how they transfer to the next chords. To E,F and onwards
Some simple songs and licks get us to move around but as with triads and inversions unless we go slow and break them down it will be learning by rote. Where to place the fingers instead of knowing which notes we play. Then we can try playing them somewhere else.
Dave