Help help help

TheBrick(Tommy) riding a geared bike in one gear for a while will help you choose your gear ratio, and riding a track bike is fine with a brake is fine but it does take new skills and a change of riding style to ride without a brake, and it an't for everone, tis not for me.

Apart from getting a ballpark idea of what gear to use (which will feel completely different on the fixed anyway), I can't see any other benefits. Brakeless never entered into the equation.
Get a gearing somewhere between 68-72" depending on how strong you feel and how hilly your area is and get on with it.