I've tryd attack speed, ap, and ad and this is what ive come up with so far.
AP deals up to 300+ aoe damage over 5 seconds with enough ap everytime you switch stances and gives over 500shield absorbion.
Attack speed offers 20% lifesteal from turtle, so you can basicly constantly stun/shield and regain HP, this method is very effective and even has let me solo a yi with both of us equal, both level 18, full on items. The problem with attack speed though, is that it hasn't done much help late game, attack speed doesn't pose a whole lot of damage, and armor/magic pen on attack speed is useless.
AD has to be the best effective way to do udyr, and i've even thought of making a guide based on it.
In my experience, Late game tiger stance combined with 3 blood thirsters, 1 infinity edge and guardian angel has allowed me not only to tank anything, but also finish off a twitch at half hp with one tiger x3damage attack.
he died 5feet from shop as he said.
Not to mention you get 75%lifesteal and tons of attack speed from the bts+tigerstance.