I don't know about optimal muscle recovery, but how far you need to carry your motor (i.e. muscle mass) and the manner in which you need to carry it will determine your ideal competing weight. Pretty simple really.
A climber who needs to drag his motor up 3000 vertical feet on El Cap in a 4-6 hour speed ascent or a runner looking to run a sub 27 minute 10k will want to stay lighter (about 140#) than a rower who needs to propel a boat 2k in 6 minutes or so (215-230#).
A power lifter who needs to step onto a platform and move a barbell or a linebacker who needs to go all out for a few seconds from whistle to whistle benefit from being heavier still.
I would say the simplest solution would be to look at the body weight per inch of height for top performers in whatever sport you're into and try to get into that neighbourhood, to the extent your body type allows.