Twitter app help

OK, I need some help finding the right Twitter app. I want it to be able to flash the LED (preferably blue or any other color than green) for new tweets but also NOT give a notification in the drop down. I would prefer there to not be easy access to my tweets if possible but I want to know when there are new ones without turning on phone. Does that make sense? I like TweetCaster but I can't do this. I also don't think Twidroid does this. Any ideas?