Hello Cycling Daddy
I am nurse currently doing an Advanced Practice MSc. The current topic I am looking at is the coagulation cascade and how anticoagulants work. I've done a bit of audax as well.
You are aware of the benefit of anticoagulants in reducing clot formation balanced against the increased risk of bleeding and the use of coumarin anticoagulants, such as Warfarin v. the new NOACs. Diet is certainly important in maintaining a therapeutic clotting time when using coumarins, measured as INR (International Normalized Ratio) mainly in relation to the amount of Vitamin K in the diet, a component in the production of several clotting factors. I am not aware of any evidence to suggest an otherwise normal diet with a few minor interruptions, such as those on an audax would have any major effect on this. Probably the most important dietary advice is alcohol only in moderation or not at all!
Whichever anticoagulant is used though the major issue I see in your scenario is severe bleeding as a result of trauma. This bleeding could be obvious, in the case of a open fracture of a leg for instance or hidden, in the case of bleeding within the skull after a head injury. This increased bleeding would still be there whatever group of anticoagulants was being used. When coming to stop such bleeding though any health professional would want to know: a) you are anticoagulated and b) which medications (all of them) you are on. If you have a head injury and resulting cerebral bleeding you may not be in a position to alert anyone to your condition and meds. What would be of great benefit in this situation is an 'SOS' or medical bracelet/pendant to provide this information.
For what its worth I would not stop audax if I was anticoagulated and I would be happy using Warfarin. The risk of trauma is there whatever you do. I may though get my INR checked shortly after a long audax or any other change in lifestyle for that matter.
Good luck whatever you decide.
AddendumYou may find
this link from the Atrial Fibrillation Association useful.