If you're looking to get the new plate mog asap and don't want to bother waiting for Chromie's time gated talents here are some tips.
1. There's a lot of RNG involved even when you path perfectly, be ready to fail a lot.
2. If you have a CoF it's definitely worth equipping regardless of ilvl. It's pretty crucial for making the dragonshrines smooth. If you don't have CoF I would suggest HoV, FCM, anything that's good for bursting down the elites. Most of the run is killing elites so you should build for it.
3. Talents (1-3 from left to right) 1/1/1/2/1/1/2 (DP and CoF is the dream team here.) CoF and DP allow you to have Wings up for nearly every elite pull, even the easy ones. More wings is good. I recommend JV over Eye for an Eye because of DP synergy, and the fact that most of the elites can be stunned. I had some gorgeous 17 mil crits after getting a couple of damage buffs.
Also should mention that being boosted to 1k ilvl gives you a lot of extra secondaries, with my gear I had 40% haste which was why I picked DP over crusade. I lost too much value on crusade whenever Chromie TW.
4. There are 5 Magnataur around Dragonblight, one at the foot of Wyrmrest Temple and one by each of the shrines. Kill these while wings is on CD. They give 1 to 2 vials each.
5. Pick priority from vials: Big Treasure (portal skips), Dragonshrine skips, 30s timer, damage/healing, any other timer, runspeed then damage reduc.
6. Legendaries. I ran with the standard cloak/belt however if you're not lucky enough to have those 2 I would suggest the bracers for the additional cheat death (everything in the scenario hits like a truck and Chromie's healing is sketchy at best, you can also cheese a lot of areas by chain pulling). TBH the legendaries didn't play a huge part in the successful run. Any combo of 2 would do. Even if you have no legendaries it should still be possible.
Sephuz is also a super strong legendary. Nearly every single mob is stunnable and has a cast that you can kick, giving it insane value. With the fist of justice talent you can have stun up a lot so you can get a ton of value from sephuz.
7. If you don't get at least 2 portal skips (big treasures) after finishing the dragon shrines just reset the run. The best ones to get are Well of Eternity and Strat (a lot of ppl think Andorhal is a good skip but there's a lot of additional vials from the mobs you're forced to kill so you can easily add more time/more buffs.)
8. Every time you enter the scenario you lose your greater blessings, don't forget them. A good time to buff without wasting time (since it takes 2 GCDs to buff) is as chromie is about to summon your 1st Dragonshrine boss.
9. Chromie Time warps on the 1st pull you do, make sure you get value out of it. For example if you get the quest to kill the Void lord at the blue shrine I will typically go to the green shrine 1st. The Void Lord (blue shrine boss) has a bit less HP than the others and I would typically lose a bit of value from TW.
That's the big stuff, there's a lot of smaller optimizations but most of them are found as you get a few good runs in. I would highly recommend you try doing each portal a couple times before you commit to the full run. You don't know what skips you're gonna get so you should be prepared for any of them. My successful run skipped Hyjal and Stratholme, I basically only succeeded because of how often I did Andorhal without skipping. It took me around 2 dozen runs to get a full clear. Don't be afraid to reset either. It costs you nothing but time.