Okay, thing is, if you're going to be riding brakeless, you'd better learn how to skid very soon. Without brakes, there's really no other better way to stop, and resisting is probably the most inefficient way to stop any short distance. The thing about straps is that it allows you to pull up with your rear leg as you push down with your front leg. Try this while climbing. You'll notice the difference immediately.
Oh and I strongly recommend that you get a front brake. Just do it.