Oh no, I am sorry, as you stated the new one will be 'single speed' I assumed you meant SS with a free cog rather than a fixed cog? If fixed, just a front brake will be fine. If you slam on your brake and you only have a front brake, you're probably going to go over the bars anyway, unless you distribute weight to the back and lock your legs up to skid, no matter what kind of a frame.
If running a free cog I would advise both front and back brakes.
Oh no, I am sorry, as you stated the new one will be 'single speed' I assumed you meant SS with a free cog rather than a fixed cog? If fixed, just a front brake will be fine. If you slam on your brake and you only have a front brake, you're probably going to go over the bars anyway, unless you distribute weight to the back and lock your legs up to skid, no matter what kind of a frame.
If running a free cog I would advise both front and back brakes.