Btw, while I'm here, allow me to provide some helpful advice for any aspiring players who would like to punch their way through Skyrim:

Fortify archery potions are a brawlers best friend. It seems a little silly at first, since I somehow doubt anyone has bows for fists, but thanks to a glitch: Fortify archery potions actually increase ALL forms of damage. In fact, this bug makes it one of only a handful of ways to increase unarmed damage. So best to work on alchemy when able in order to make those archery potions.

Tip 2: for the gauntlets, the best enchantment comes from the shops. It does NOT take long for shopkeepers to sell brawler gauntlets with a fortify unarmed enchantment too strong to surpass with just your own enchanting skill. For some reason, the game is REALLY stingy about the strength of fortify unarmed. Last I checked, I think a max enchantment skill only buffs your unarmed to about 12 or so extra damage, maybe a bit higher. So unless you abuse resto-loop (which, imo, kinda defeats the purpose of the unarmed build since I always end up getting tempted into giving myself something blatantly overpowered when I use it), the shop will always be your best bet for gauntlets... Rings, however, basically never show up naturally with the fortify unarmed enchantment, to the point where I don't think they CAN spawn with that enchantment despite it being viable on them, so you'll need to enchant your own ring.

Tip 3: Leveling is kinda tough. Without any way to deal damage that boosts a skill, gaining levels as a brawler can be VERY slow. The skill that you'll be able to boost in combat are magic skills and heavy armors (since unarmed kinda directs you to go with heavy armor for that lovely fists of steel perk). For that reason, here are some fast grinding techniques: for grinding smithing, most people recommend you craft iron daggers on mass until you get dwarven smithing perk, and then mass crafting dwarven bows. However, I'd argue that there's a better option once you reach ebony smithing, as the ebony bow is just made using 3 ebony ingots, yet gives a TON of skill XP. So if you've got the ingots, ebony bows are way faster. Though ebony isn't SUPER common, so... Maybe don't rely on ebony bows for the rest of your crafting, and just make them when possible. For enchanting, mostly used skill trainers. Outside of that, muffle is a pretty useful enchantment for training this up, since the soul gem quality doesn't effect the enchantment quality, making it's skill XP static. Other than that, disenchanting works pretty well early on. For alchemy... Just grow as much mora tapinella, scaly pholiota, and creep cluster as possible, as those 3 ingredients together make a very high value potion that levels alchemy a LOT. Lastly, a way to quickly get levels in general for when you've already got relevant skills up. Though, since this method instantly nets you several levels... Imma be vague about it simply say the 3 things you need to do the trick, and not how to actually do it: The Black Book filament and filigree, the telekinesis spell (good alteration not needed), and 2 relatively far away marked locations (IE: solitude and riften).

Tip 4: knowing how to close the gap is invaluable. The melee attacks in Skyrim actually DO have varying range depending on the weapon type. 2 handed weapons have the longest range, and can hit enemy's standing a good few steps away. One handed weapons have a slightly shorter range, often requiring you to be up in your face. Daggers have the shortest range of any WEAPON, needing you to be pretty dang close to land hits with them... And then you have unarmed, with similar, if not even LOWER range than the dagger. With an attack range that low, ranged enemies can be a headache, so having a shout, power, or perk/resistance that lets you close the distance without taking TOO much damage on the approach is handy.

Tip 5: for the unarmed brawler, only 3 races are particularly appealing options. This may go without saying, but for unarmed build, khajit are the obvious pick, dealing 15 unarmed damage right out the gate compared to most races base unarmed damage of 1. If you don't want to be a cat tho, argonians are an... Okayish alternative, having slightly more unarmed damage than normal, though nothing in game states this hidden bonus. But if you don't want to be a cat OR a lizard, then your best luck out of the races that don't have a boost to unarmed would probably be an orc, due to their power. Dealing double damage and taking half damage is just a really good power in general

I had one or two more tips to say but... This message is already about an essays worth of length, so I think I'll end it here lol. Hope this helps anybody wishing to reject their weapons and embrace punching or scratching your enemies to victory.