You can fix trials in a simple way without lessening the competition. All you need to do is move people with completed trials ranks into new catagories where they will not play with people who haven't won yet. That way when you got 100 twitch streamers doing noon runs it's harder on them and they don't get to we're the same people over and over.
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This is a great idea and would certainly lessen the impact of carries and make Trials more balanced towards the end of the weekend, in theory. The problem is that paid carry services also offer 'recoveries' where they play on your account, so there would just be a spike of bad players suddenly being godly in trials.