I've ridden fixed gear exclusively for about five years.
The third year I did not use my brake, although I had a brake on both my bikes.
The fourth year I had a custom frame made without a brake.
I ride a very low gear ratio, 44 X 19, for a little less than 63 gear inches with 28 mm tires, and I don't skid.
I average about 15 mph around town, like clockwork.
If one rides at 72 gear inches or higher, I think a front brake makes more sense than skidding.
Additionally, I would advise against riding brakeless unless you have ridden easily for a year without using your front brake.
Two of my three fixed gear bikes have a brake, and the other day when I rode one of them, I approached an intersection at warp nine and had to use my brake.
I definitely ride much more conservatively when I ride without a brake, and, if speed means everything to you, use a front brake.