The race is a bit more difficult in a freighter, but you don't really need to out-race Hovis. Just fly the course at cruise speed without missing gates or running into anything, and Hovis will screw up towards the end and let you win.
At the end of the mission, you'll end up on Leeds again. You can either go straight into Mission 7, or decline and explore Bretonia a bit more first. You'll be leaving Bretonia in the next mission.