Go prot in PvE-gear and 4PC T9 for 50% shield block uptime, shield slam hits like a truck when it's up. I had problems on Mandokir, wiped once and ended up on like 3K HP the second time(a bit due to bad RNG with victory rush and being lazy on thunder clap, demoshout and CDs as I haven't fixed up my powerauras yet after 4.0. Because I'm lazy. :P), but tiger went straight down, no problem. What you want to do is to just nuke them down faster than they can nuke you, DPS like a madman, have your last stand/battlemaster trinket macro bound and hope for the best.
If you don't care about Mandokir it should be even more easy though, just nuke away and keep shield block up. I don't think I used enraged regen, demoshout or shield wall the entire fight. And my PvE-gear isn't that good, some BoE's, some HC gear, some emblem gear. I use shield and slow 1-h'er, spam HS, SS and revenge. No drops. =(
Anyone got Anzu down solo, btw? I couldn't even get to him due to the thrash in the room before him, but I doubt I'd get him down alone anyways, the thrash he summons is kinda mean. Brought a boomkin and no probs, but it'd be best to have nobody else rolling on my mount.