If you're looking for very good protection in the most minimal size and weight, check out YouTube videos's of the Rhinoshield Crashguard! They're $25, fit around your phone but have no back to them.
I get the Crashguard and a skin, because I get sick and tired of wiping fingerprints off the back of my Note... I've ordered the Crashguard and a clear, matt skin, from SlickWraps. $19.95, less 50% from a sale they're currently having, brings your total to $10 for the clear, matt (or they offer clear not matt) skin for $10, and another $25 (even less, usually) for the Crashguard, and for $35 plus tax, you'll have a very well protected Note 10, that keeps fingerprints off your device!