I was about to say something snarky until I saw that you're playing a dwarf. Yeah, I hear ya. Dwarves and Qunari have it really bad this game. "Spoils of the Qunari" made it slightly better for the latter, but the former remains unresolved unless you use mods. I see that you can't use mods yet OP, so I won't recommend it as yet.
For those who can use mods (or will/plan to in the future), I found some pretty good ones that were created fairly recently, if you want more race-specific armors and outfits.
1) Immersive Starting Armors: changes the graphics of the mercenary coat you start off with in the game (same armor stats, different visuals). For humans, it makes it so you can start the game in, among other things, Circle robes if a mage, Templar armor if a non-mage (since your parents shipped you off to the Chantry), etc. For non-humans, it allows you to start the game in Dwarf, Elf, and Qunari-specific armors. (Although they are restricted by class.)
2) Skyhold Outfit and Formal Attire Replacement. Allows you to wander around Skyhold and the Orlesian Ball in race-specific Carta/Dwarven/Dalish/Elven/Qunari armors and outfits. (Haven't tested this one yet, though, so I don't know how well it worked.) (I know it's not armor, but it still creates some variety.)
3) Remove Level Restrictions for Weapons and Armor. So let's say you get the schematics to craft your favorite late-game Dwarven/Elven/Qunari armors for you character in another game, apply it to the Golden Nug, and now it's available for any character as soon as they get to the nearest crafting station. But hark! What's this? That beautiful Keeper Robe has a level restriction of 16 and you just arrived at Haven? Despair not! Apply this mod and you can start wearing that beautiful late-level race-specific armor as soon as you can craft it. (Although, if you craft it at lower levels it'll be lower tier since you're using lesser tier materials.)
4) No Class Restriction Remade: If your race has only one or two types of armor per class and you're tired of looking at that same one style all game, this allows you (and your companions) to wear other race-specific armor for different classes. So, if you're a dwarf warrior who wants to wear the Carta Coat or a dwarf rogue who wants to wear a Legion of the Dead plate (without having to make it from Silverrite again), or you want to put Varric in that Legion of the Dead plate? Guess what? You can do so. If your character is an Elven Mage who's smitten with the Dalish Scout Armor (which looks exactly like Merrill's DA2 unique armor) and/or Dalish Warrior Armor? You can not only wear any one you want, but put it on your companions. (So, for example Solas can now wear the Dalish Scout or Warrior Armor despite being a mage.) (The only downside is this thing doesn't lift race restrictions, as that's completely different size animation. So, you can't stick that pretty Dalish Scout Armor on Sera--since she has a human body model--or put that Carta Coat on Blackwall. They might make a mod for that in the future.)
I hope that helped a little. Those in the know are probably thinking, "Yeah, way to be late to the party." And many of these don't really address the issue that DAI only has one or two types of armor per race. And having the option to wear said one or two armors per race any time all game might make it so you get really sick of those one or two choices really quickly.
But, for those who might want to wear that good-quality Carta Coat or Keeper's Robe they bought/looted right away instead of waiting till that much higher level, or want to wear their race-specific armor for a different class instead of being stuck wearing only their race's rogue or warrior or mage armor, this might help a bit.
Personally, next game I plan to start crafting early and rotate between the Keeper Robe, Ancient Elven Robe, Scout Armor, and Dalish Warrior Armor to get some variety going. I'll also craft them from different colors and materials for different occasions (fire-resistant elfy armor for dragons, spirit-resistent for Fade fights, magic-resistent against Venatori, etc) because I can. While Dwarves are still pretty much screwed (my heart goes out to you guys
), hopefully this helps somewhat.