I recommend a Small Craft, that has both one Engineering Console Slot and one Engineering / Universal BOFF Slot. Put a Engineering BOFF with "Emergency Power to Engines 1" in it. This is sort of like an Engine Battery, but it also increases your Flight Speed.
Using the Iconian Engines and Warp Core will add +15 Engine Power at Mk XIV. As a nice side effect your Warp Core has an Engine Capacitor which works just like Engine Batteries. Put the Polaric Modulator from Delta Flight in the Engineering Console Slot and the Hydrodynamics Compensator from the Undine Reputation in any other Console Slot.. You gain an increase in your Flight Speed, Engine Power and Turn rate.
Also don't forget about Evasive Maneuvers. This will temporarily increase your Speed AND Turn rate, so use it with caution. You can use a Conn Officer DOFF, that will reduce the Evasive Maneuvers recharge, when you use EPtE.
In that configuration, my Vaadwaur Racer has 128/100 Engine Power. Using EPtE1, I get it up to 135/100. I made it to 136 seconds in this build. I probably would have been faster, if I'd be a bit better at piloting.
Okay, I think that is all advice I can give you. Keep Chris's advice above about steering in mind as well. Most importantly: Never forget that practice makes perfect. I'm looking forward to log your Lap times.