You don't even need a rear brake, it won't help you stop any faster. You just need to realize that you aren't going to skid and that back pressure will be all you have in the back, but really there isn't any chance of going over the bars by using the front because your rear will be held down. You have to take going down steep hills a bit slower but I find this easier to manage using back pressure than brakes anyway. Make sure that your lockring is on tight and you are good to go.

The only other thing you might consider is whether you need a lighter gearing.