Although appealing, I still wouldn't go with the Note 2.
I found the S3 unbearable due to the horrible battery drain while not in use. It goes down 10% every 2-3 hours in standby, and thats with every sync option turned off and every other setting crippled. My iPhone 5 on the other hand went through 5% in 12 hours of standby (I overslept).
I could have got 2-3 days out of it with light use, but that would involve using power save mode, which destroys the performance on the device and makes it a truly horrible experience.
I actually noticed the same exact thing on my GS3, my phones battery will decrease 20-30% over night while connected to wifi with no syncing or apps open, and wifi power save mode on too. Its strange