Tough choice for sure. But actually, two very different sweet spots for usage. The Note will be the best for productivity, and versatility. Obviously battery life will be better than the DNA. The S Pen and Touchwiz add a lot more capability than Sense. If you want a device to organize your life, be almost a personal assistant, the Note is probably the better choice.
The DNA is a media powerhouse. The screen is fantastic. The built in amplifiers mean audio is clear and crisp while plenty loud. Obviously it's much more portable than the Note, and can still be used one-handed. Radios get excellent signal, so you won't be frustrated by dropped calls or slow data speeds if you live in weak coverage areas.
Ask yourself what you want out of your phone, and see which of the two better fits that.