I have now tested my code against 200-300 frames taken on 3 different nights with the Moon between 7 and 15 degrees away from the boresite.
I have done what Dustin suggested i.e. solved the image with whatever information I had to hand (field size, RA, Dec etc) using tweak=2 and then called it again using the -verify option and including "--tweak-order 3".
I've manually looked at frames from 20 pointing and they each have a polynomial order set to 3rd. Theres been no obvious slow down (or speed up) because of it, which is great.
So thanks, as always, to Dustin for his sound advice.
Tycho Tracker is now happily chewing its way through my datasets...
Grant