First Strat: Hold forward from the start and you'll fly up and slightly to the left. When you hit a wall on the left side, you'll fly a bit to the right. Here you need to correct a bit by going slightly to the left and directly into the goal, most of the time with 26.81 remaining.
Second Strat: Hold forward, but as you fly up and a bit to the left, correct and fly straight towards the goal. You'll hit the goal platform because you're too low, but you'll bounce back safely. Now simply wait at the corner to the goal platform until you get hit up again and roll in.
I want a good score!
Good scores start at 5616, that is two bananas and a standard 27.08 finish. If you just want a good score, you don't need to boost at the beginning. I've had three bananas without boosting, too, and in fact getting three bananas is easier without boosting than with. Apart from that, follow the record strat.
I want the record!
Boost right VERY SLIGHTLY, pull over to the left, as you get hit up swirl to the left and then pull over to the right. Land on the thin platform containing the second banana (it's not possible to get the first banana with this strat), but try to land very close to the far edge of it. Ideally you will pick up the third banana in mid-air and land again on the thin platform containing the final banana, then bounce once on the "moving platform" and into the goal. Fairly often, you will miss the third banana and only get bananas 2 and 4. Getting all three bananas doesn't happen often, so consider yourself lucky (or good) if you manage to do so. I might be wrong, but I think 5726 is the best possible score on this stage.
Current Record: 5726
Finish: 27.13
Bananas: 3
Difficulty level for 5726:
2/5