Do you only play physical dpsers who have their own attack speed boost from skills? Aside from zeal, which you list as optional, you don't have any IAS from items.

Many psychical DPS champs have an alternative AP build that usually proves quite successful due to high AP scaling. But on some champions, like Tryndamere, it's not even an option. I build him starting off with a Warmogs (to max it as early as possible), then a Frozen Mallet for the HP boost and the slow, and then I stack Atma's for the added DPS and survivability. I can usually end up being an insane killing machine and an unkillable juggernaut at the same time.

As for attack speed, I have an attack speed per level rune page that gets me to around 44% I believe, and Berserker's Greaves give me the boost I need early game.

Sometimes i want to try new stuff, but it seems phage->zeal->mallet->PD works out the best for me.