Here is the thing.
DPS check right now is straight forward, you dont hit it you fail and you start again.
How about if instead of failing a dps check you still get your reward, however if you manage to get the dps check you will be eligible to claim another reward for the week, making it two for people with good performance and one for casuals.
The moment of the dps check, the big bang however should still deal a significant amount of damage, about 95% of the HP (calculated by dealing flat damage, so we will be able to mitigate it) of everyone that still will be a punishment but if the team survives it and defeat the boss they will get rewarded.
If they wont kill the boss in the next few minutes then there will be a final check where everybody dies, so really bad team will still lose and mediocore ones will be able to progress.
That way we could make highest ilvl gear more accessible to everyone, veterans still happy and probably less toxicity around the hardest content of the game.
@edit
I am going to fix my thread a little, because i was being attacked for a simple suggestion by a lot of guys in this thread, probably caused by misunderstanding what i am really suggesting here.
What i suggest is not to make savage raiding to give a "participation award" for anyone who cannot play this game effectively, i dont want bad players to get trophies of "you win!" every time they are going to play savage content.
I simply just want to put a different mechanic instead of a "instant kill" thing at the end of each savage raid. Instead of instant killing everyone this mechanic will deal significant amount of damage to everyone in the game to the point where 1 hit by an AOE mechanic will kill them, and this damage could be mitigated by shields or any mitigation skill to put more importance into healers and tanks that have a tools to fight it back. Everyone is calling it a "soft enrage" so i will go with it, so if a team hits this soft enrage and will be able to beat the boss in few minutes, they will be eligible to claim 1 reward per week.
If they fail to kill the boss in those few minutes, then a "hard enrage" kicks in, kills everyone an no one will be able to claim anything, the time between soft and hard enrage should be balanced around average performance of overall playerbase.
For people whos team beat the boss before the "soft enrage" they will be able to claim another reward in a week in the next run they will finish succesfuly, making it 2 rewards.
Good people will be rewarded twice as much as it is right now, and average ones will get it once.
This will make it possible for average players to progress and not being carried by good ones, and good ones will get their progress faster, end of the story.