There's really no good way to build both.

Really without the Ionian Boots of Lucidity, all you really have are The Brutalizer and Youmuu's Ghostblade.

For simple flat attack damage, you're right, but attack speed+cdr items increase dps, which is more important. Try to fit an early Zeke's into your build instead.

^ Yeah, that would work except for on Urgot, and that's who I'm trying to make a build for. Cooldown reduction is apparently better than Attack Speed for him.

normally on ad bots you rather have more damage/attack speed than cdr since your autos will hurt more than spells, urgot being special since he is more bruiser because of his ulti

zekes on a ad carry bot is a waste of an item slot leave it to supports/tanks

on bruisers though, you normally any of the following: frozen heart, randuin omen, shurelya's reverie, or brutillizer and sell it late game for LW
with masteries you can easily break 30% which is more than enough since 30-40% isn't noticeable unless you have some long ulti cd like karthus which most ad/bruisers don't

Well I think that since Urgot Glass Cannon becomes useless after 45 minutes into the game, he would be more useful as a tank since he has more utility abilities than damage output.

With the brutalizer and some cdr from your masteries you really don’t need much more.

I'm pretty sure that CDR caps at %50. Between Brutalizer's %10 and Ionian's %15 you're already halfway there, you can very nearly pick up the other %25 just off runes and masteries.