I've been helping my GF with the same thing and she's still in fear of her first tumble. At least you're past that point.
I've got into the habit of uncliping when applying the brakes but it sounds like you might want to have them looked at or adjusted. Not sure about all but the ones I have can be set to click out easier...

Best piece of advise I recieved was to NOT put your hand out as you fall as you could break your wrist. Funny how fast the mind works, one of my first "locked in" falls I instinctively put out the hand to cusion the fall but pulled it in real quick upon the flash of a possible wrist fracture.

You'll get it.