UPDATE: I found a solution, I bought another Note 3 Stylus and put it inside a real pen, the Uniball XSB-R7. I just needed the nib trimming a bit and it works like a dream.
http://www.youtube.com/watch?v=_0Sj7FyZuk0
http://www.amazon.co.uk/Uni-Ball-Click-BP-Retractable-Point-XSB-R7/dp/B007FQBAU6
*Note - There is NO calibration option on the Note 3 so you can't calibrate for different pens.
Bamboo Feel vs Samsung S-pen with eraser vs Note 8 pen vs Note 3 pen.
I wanted to find a full size pen to use with my Note 3 and Note 8 for creating network diagrams. The pens it comes with are too small to hold comfortably for any decent length of time so I needed something wider.
Unfortunately as you can see the only conclusion is to buy another Note 3 pen and put it in the body of a larger pen, nothing else comes as close for accuracy. See this blog post for what someone else has done.
http://crabfuartworks.blogspot.co.uk/2013/01/galaxy-note-s-pen-mods.html