The rams don’t sleep at all in my experience.
Rams, Qutrubs and Halo mobs are immune to Lullaby, so Macc won't matter on those.
I don't have a lot of experience on BRD tank/puller in Sheol C but some general things I can share:
1) Evasion caps at ~80%, no matter how much eva you can pile up, you won't be able to evade more than that % of the total amount of attacks thrown at you by targets you pulled. Which means ~20% of those attacks will land on you regardless. This is something to consider if you want to pull, say, 30 mobs at the same time, or if some of those mobs are particularly powerful/fast
2) Salt Ramen is one of the best eva food, it can give you up to 95 Eva. But it's "only" 6% of your eva, which means that to receive that amount you're gonna need ~1600 Eva before food, and that's of course unrealistical without Mambox2 (or SV Mambo). That should be the standard of course but I'm sayin this because in different situations other foods like Seafood Gratin +1 (max 65 Eva, but 13%) might provide you with a larger amount of Eva.
3) Unless you want to use third party tools to artificially bring your movement speed to high values, a sorta mandatory option is gonna be Hyppomenes Socks +1 R15. These are often ignored by us western players, but I see they're used a lot by JP BRD pullers. It basically gives you a semi-permanent Flee which allows you to outspeed a good part of monsters and moving around faster to pull/gather them as the rest of your party is killing mobs. I haven't been part of many full-clear Sheol C runs, but in all those times there was a JP BRD puller using those feet.
4) While /NIN is nice for the slightly additional Eva, the dualwield (which also can converts into additional eva) and of course shadows, those shadows won't be as useful as you might think, especially on floors 3+. You can't expect to pull like 30+ mobs without fleespeed and just with shadows, with that amount of targets tryin to hit you Shadows simply won't make a big difference. It's why a lot of people go /PLD, I guess. Can't say why but I assume more than for the Def bonus job trait, it's gotta be for Sentinel? With keen use of Random Deal from the COR and with long pulls, you can probably have Sentinel up for the final part (the most dangerous one) of a lot of pulls.
Keep in mind for floor 4 (I think even 3 actually) 1600 eva is not enough to reach the cap of 80% Eva, but there's not much you can do about that, other than SV Mambox2 lol