Not in this situation but if it were me I'd choose the s3. The note 2 is just too big of a phone imo. I'm sure it's good but I wouldn't carry it around.
I agree that the Note 2 is absurdly massive, but the simple fact that the Note 2 has a quad-core processor compared to the dual-core in the S3 would make the Note 2 my choice. I would definitely have to find a way to remove that ugly Verizon branding on the home button though.