No matter how noble or good the goal, immoral means should be avoided at all costs. We should seek healing from science and from God, but when all else fails, suffering patiently has a purpose in building character, among other things.
Hmm, say that to sick children (of all kinds).
I see your point about growing stronger thru suffering, but there are different kind of injuries and life injustice where it just doesn't apply.
Breaking your arm is different than being paralyzed from top to bottom or being blind.