I am sorry for you, I think we can all understand your frustration.
It's more a rant than a suggestion though.
My highest-paid player has picked up an injury in the season's last game, I miss him, I am trying to escape demotion. And still, I can't look at things like you do.
Injuries aren't a punishment, it's part of the game, it's part of the simulation. What kind of serious management game wouldn't have injuries ? They are frustrating, unfair, they are IRL too, coaches don't give up, it's unfair they might never be able to win that championship again. And that player who is sensational FT and has just missed two from the line, it's unfair but you shouldn't look at it like that.
You don't want to accept it can happen,that's what is frustrating you but it's a game feature like any other and essential to the simulation, you can't really make the common injury shorter than 1 or 2 weeks without making the feature a complete joke. Injuries can be made to last for one game or one QT at most and one could still come posting here with the exact same argument as yours that it's unfair, unmanagable, makes him angry...
You want control, absolute control. Experience the game differently. Accept randomness, twists of fate, they are the challenge. We are not playing chess. Stop planning now, react. You can still win. You have made it to the finals without your first-choice center, was he injured 2 weeks ? If that's the case he can come back any day now. That will be your experience of the game for this season, enjoy it and learn about yourself, it will probably never happen again, it's your unique chance to 'live' this. Stop thinking punishment/reward, it doesn't make sense :) Actually, I really think you can still win and it will be all the more enjoyable for you.
I wish this won't anger you further :)