Time trials? Really?
It's trial and error, there are some walk-throughs you can use to learn which side to move and get past it. Once you're done, keep going.
You're main challenge will be getting enough bounty so I would suggest piling on the bounty in the lower levels rather than waiting.
It took me almost a day to get enough bounty to challenge player 3 but when I went for it, I got enough to get me through to Razor.