Apparrently Wowhead used to have a character builder, but it’s been down for remodeling for ages, and they’ve taken Blizzard’s “coming soon™” for their very own. But some other enterprising soul has jumped in to fill the gap with WoWsets. This is where you need to go to view that ultimate transmog set you’ve been farming.

Icy Veins, in addition to providing BIS gear lists and fight guides, has a transmog section with both tier sets and individual items, and they even tell you where to go to get them.