It's not an equipment check, it's a skill check. Skills were you know when to fly in normal speed, when to 'sprint' and use boosters, when and how to take corners and destroy the freeze mines or take routes to dodge them
The standard gear you get is actually the best for this, just load up your gun with as much dmg mods as possible to take out the mines easily.
For the actual course, the mission is called 'rush' but rushing is the worse thing you can do. Flying in normal speed is the best thing you can do, this will ensure that you don't take bumps and miss corners and that you shoot out the freeze mines
There will be long stretches that you need to boost in, for those you just need to hit the boost key once and hold it for a little while, a couple of secs. The boost has a momentum to it so you don't need to keep holding it
There's also a way that you don't get knocked back when you hit walls and it'll ensure somewhat safer cornering, and that is to zoom in with your gun, it makes you not get knocked back and also makes you flying a bit slower and more precise just enough for you to pass through a narrow path
Do these and you should be good. I always have 60-30sec on the clock still when doing this while destroying all 3. Again, AW Rush mission is all about skill