V.B.
I think the best way to handle those situations is to ignore the behavior as much as possible. This is what my pediatrician recommended for my daughter at that age (she is 17 months now). I agree that you should use the word "no" sparingly. If my daughter tries to pick up something that doesn't belong to her, we tell her "not Abbey's", and if she is trying to touch something that she isn't supposed to, we use "don't touch". We were trying to avoid the word "no" becoming her favorite word. ;-)
By ignoring the behavior, you are showing her that screaming and crying is not going to get your attention and is not going to change the rules. I would just make sure she is someplace where she can't hurt herself and let her cry. If you have to, place her in her crib until she calms down. Again, this is what my pedi recommended. All is easier said than done, but my daughter has very few tantrums now and can tell by the look on my face or the tone in my voice that her behavior is not acceptable and usually stops before a big fight ensues. She knows that she just isn't going to get away with it, so she doesn't bother trying.
It's pretty tough being a mom sometimes, but the more consistent you can be now will pay off when she gets to be a toddler. These little munchkins understand a lot more than we sometimes give them credit for, so just keep up the good work. She gets it and she is just starting to test limits a little bit.
Good luck!