If you’re riding it on road and you’ve got a gear on it large enough to go fast, you won’t want to be leg braking with it, but a front brake is still enough, especially if its a disk.
Pompino with a disc fork, or Pompetamine, is perfect. Lots of clearance and mounts and really nice to ride on the road. I actually prefer riding mine to my fancy road bike, and I don’t mind leaving it outside the pub.
It took me a while to love fixed riding, especially down steep hills, but stick with it and you won’t go back. The flywheel effect really helps up hills compared to singlespeed, and it makes you strong and smoothes out your pedalling style as well.
Don’t let the hipsters put you off, old farts have been riding fixed forever, for a reason.