I snapped mine about 5 years ago and went op route, in hindsight a mistake as found out about loads of horror stories regarding infections, multiple ops, years of issues etc etc when it goes wrong, although I was fine and had a great surgeon, non-op carries far less risks with almost identical outcome.
You are at most risk when the boot comes off and many rupture again during the first 4 weeks after the boot comes off normally due to an overly aggressive exercising (weeks 8-14 or so). My advice is get weight bearing as soon as possible in the boot, get some hydrotherapy as soon as you are allowed (really important to get movement back in), make sure you have a physio who has experience in Achilles ruptures and spend 6-9 months doing exercises (got to love those single leg raises) then you will be back strong again. But be careful on rocky shores until the ankle is stable and strong.
I was diving about 9 months later and have never noticed the achilles under water, surfing was a bit harder but I got there and after 14 months could cycle 100 miles in just over 5 hours. Yoga a couple of times a week has also really helped.
I am back to almost perfect now, still stiff some mornings and if there is a swell may pass my tanks up to the dive boat as I feel a little unstable on a ladder in a swell, however I think this is physiological as I snapped it on a boat in Kenya.
There is a strong facebook group called Achilles Tendon Rupture which is a mine of great info, if you can wade through the normal rubbish