In reply to Todgerman:
Just a few comments in reply to what other folks have said. I am a doctor, for what it's worth, but bear in mind I am not *your* doctor, and at the end of the day it's you who has to make the decisions on whether to accept or decline the possible courses of action offered by your own doctors and other professionals advising you.
Firstly, absolutely do discuss frankly your concerns with your surgeon. Have realistic expectations, however: it's extremely unlikely that you'll get this On-X valve, which as far as I can see has no license for use in Europe, and of which the only benefit you're interested in (lesser degree of anticoagulation) is completely unproven as yet. The important thing is to let your surgeon know that you are very keen to keep active, and are interested in all the alternatives, not just "the usual option".
Having said all that I reckon it's pretty likely you'll be stuck with a metallic aortic valve and lifelong warfarin. And if that's the case, it's because that is the best available option to keep you going.
Secondly, the problem with anti-inflammatories and warfarin is much more related to the multiplied extra risk of a bleed from your gut than a drug interaction, although non-steroidals (ibuprofen, diclofenac) do also tend to increase your INR if you're on warfarin. Gastrointestinal bleeding is a common and serious problem in people on either non-steroidals or warfarin, and the combination makes the risk much higher.
If you do end up on warfarin, it will be up to you and your GP (unless you see someone else about your joints?) to agree on what treatment is possible for your joints. He/she *may* decide to prescribe you either a lower-risk standard NSAID (ibuprofen is the safest) or a Cox-2 inhibitor (like celecoxib - *probably* safer than most NSAIDs in terms of GI bleeding), and he *may* decide to prescribe you a drug such as omeprazole or lansoprazole alongside it to reduce your risk, but you need to be aware that your risk of GI bleeding will still be higher. There's a good chance he/she will not even consider that an option, as the safety is only relative, and the jury is still very much out on it. The responsibility lies, pretty much, with the prescriber.
Having stuck my oar in fairly firmly, I do nevertheless largely agree with what David Hillebrandt has said; although I am happy to offer informal advice to allow you to have a think and prepare in advance of discussing options with your own healthcare professionals.
Finally, consider most strongly wearing a helmet, if you didn't before. If you are taking warfarin for a metallic aortic valve, your INR will be higher (i.e. blood "thinner") than most people who are on warfarin (often for heart arrhythmias like AF), and as warfarin is an unpredictable and tricky drug, your INR may well often be higher than you, or anyone else, had planned it to be. In that situation a relatively minor impact on your head could be very serious indeed. I've seen it happen plenty of times. Not happy news I'm afraid, but I'd rather you were aware.
Good luck,
Pete.