What can I build for CDR against non-tanky teams as a bruiser/fighter?

Primarily playing J4

I find whenever I'm against a moderately tanky (or more) team, I can rush Black Cleaver which gives me damage, health, and 20% CDR. I seem to frequently do extremely well in these games, especially late game. I run 10% scaling CDR glyphs and the 5% CDR cap increase mastery, so with Black Cleaver and one other 10% CDR item (often either Locket, Spirit Visage, or Warmogs) I have 45% CDR and the uptime on my E-Q combo becomes unreal (6 second cooldown on my flag which lasts 8 seconds, 3.3 second cooldown on my Q, and can't complain about the sub 50 second cooldown on my ult).

However when the enemy team has no tanks, I just don't know what to build. I can build Black Cleaver still and it works alright, but often it feels like wasted stats with the armor shred not doing as much.

I often end up building a tiamat item ( ) which is great for my damage but I find mid-late game that second or so extra on my E and Q cooldowns can get me killed or deny me a catch that would have been a game-changer.

So I'm asking, hoping that someone else plays a max CDR J4 and has had success building something in place of Black Cleaver first.

Items I've thought of: