There is not really a 'solution' to this achievement. It's down to you, watching replays won't really help. You need to be good enough to 0 fault a hard track the majority of the time, if it takes you many tries to 0 fault any of the 5 tracks in this tournament then you need to practise some more.
The tracks in order are:
The Dome of Doom
Start with practising all these 5 tracks to the point where you can:
A) 0 Fault it 60-70% of the time
B) Know where every obstacle is off by heart
Then you want to tackle the tournament, give it a go and if you fault keep going until you finish it, then re-try it over and over improving each time until you finally reach 0 faults. This will take many many attempts. My first go it took me 15, then I got it down to 7, then 5, then 2, then 0. But I didn't just have 5 goes at it, it was more like 30-40.
Take it slow, one obstacle at a time. My time ended up being about 6 minutes which is almost double the time of the top riders.
That's pretty much what I did, sorry I can't put more here but like I said it's down to you to practise. Unfortunately you cannot watch replays of a full tournament run either.
Good luck with this achievement everyone