You might try doing some of these steps in a pool first!
Your biggest obsticle is "FEAR", once you get over that, you will do it!
in the pool, try to flip backwards, a good couple of days and you should have it down (at least in the pool, but it is a good start)
start by getting a good backbend
hop up and arch your back
incline, incline, incline! Be sure to find a good incline (not too much & not too little), on a soft surface such as a matters
For me, the only way to do the back handspring is if I do the round off and jump into a handspring
Try to always have someone spotting you, for safety reasons!
Hope it helps!
below is a link that gives you a step-by-step on the back handspring:
http://cheerleading.about.com/od/gymnasticsandtumbling/l/bl_backhandspr.htm
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