I don't completely understand why the Primarch still needs to be alive, for clarification none of them can be used outside of Apocalypse (and thats only a few). But if having a Primarch has nothing to do with gameplay and just a preference, then going by what your previous points I would say;
1) World Eaters. Dedicated
CC nuts and Angron can be used in Apocalypse.
2) Emperor's Children. You can go absolutely crazy with these guys! Don't get fooled into thinking pink and black is these guys scheme, they can wear ANY colour combination you like, so long as its bright, clashing, garish and stimulating! Plus opens up a world of conversion opportunities if you're into that. And not a single bolter to be seen if you don't want them
3) Death Guard. Primarch's still alive, they're cool and effective, and with Typhus you can take a kick-ass zombie horde. One of the coolest options in this codex if you ask me. Colour scheme can get repetitive, but you can mix it up by taking a few schemes from the 'dex (like those the Purge). Heaps of bolters though, though Plague Marines can take 2 special weapons per 5 men, so if you
really hate bolters, you can just spam 5 man squads to cut down on them.
Thats the top 3 for me. Really any other legion bar Black and Night Lords as Decio said. If you prefer the colours of Word Bearers, Thousand Sons, Iron Warriors etc, then go with them by all means!