Hello Moheet!

You seem to be taking this as a speed contest. You plan to take on jazz right now (with all those chord changes, 60 per minute)? And it seems weird you dissociate them from strumming...

Just slow down your tempo at first, to enable muscle memory to kick in when placing chords (make sure you fret properly), and practice, practice, practice.

Strumming is also important, since you can focus on placing first the part of the chord you are going to strum first and even buy yourself some time by not strumming the full chord on the first strum, just the part you have managed to fret properly. And by the way, as an artistic/feeling choice, you may not need to play full chords (but you should be able to, in case you decide to).

Cheers,