I bought a Ringke Slim and drilled the small Verizon specific microphone hole. Originally I was using the generic Verizon silicon case.
Earlier today I received a .3mm ebay case, but it's total crap. The lip at the bottom of the case doesn't cover or protect the bezel.
youll want this case, i bought it and love it. very slim
http://www.amazon.com/Galaxy-Note-Case-Protection-International/dp/B00N174VAE