I suggest dividing your MC into lots - apply all three methods and see which gives you best regrowth
I’ve been happiest with the removal, separation, replant - rapid regrowth as you’ve replanted all the growing tips, minimal algae as that’s been physically removed, also physical distance between the replanted portions
MC isn’t that keen on severe trimming - if you watched Jurijs mit JS recovery of his overgrown MC Iwagumi, he was careful to gradually reduce the dense carpet
In your case, it seems likely you will be trimming much of the actively growing MC, leaving behind rooted portions that must now develop new buds/shoots so recovery will definitely be slower
Once you get into the swing of it, my RSR method is reasonably quick (the slowest part is figuring how to separate/trim for the best quality replant portions)
If you have a large bore vacuum/syphon tube running as you lift the MC carpet, this can be accomplished with minimal tank clouding - I do add 2-4X tank volume Prime just in case whenever I disturb considerable areas of substrate with livestock in tank (lesson learned the hardest way so I often remove livestock before attempting much rescape/replant)