Here't what I think:
I play Tryndamere top and I'm masterring him pretty well (some of you might think it's easy but I RARELY! see any good Tryndamere players.) Darius is much better than Tryndamere in all ways, at the beginning.
If you have a good supportive jungler helping you through from level 1 to lets just say around 9, Darius really starts to fall and his ultimate is no match for you anymore.
Without the jungler.
Just stay really defensive, Darius players tend to overextend pushing and being really aggresive. Just play that way until level 9 where you should have around 100 minions and atleast a Wriggles Lantern/Zeal with boots. After that Darius' ultimate shouldn't really be a problem.
I have only tried this on soloqueue. I don't know anything about it in ranked. And yes, I have played several games like this and I won 80% of the time.
Also, why do people think Tryndamere is OP? He's really easy to counter and if he doesen't farm like 60% of the game, he's useless.
I don't really reccomend this because it is hard.
I woulnd't say it's a good counter neither because it depends on alot.
Give me your oppinions and don't be rude. 
Counter or not?