Monk of any kind will grant a high amount of early attacks and high mobility. You can’t properly leverage Tavern Brawler without *something* suffering stat wise before you get potions to fix that, which comes a bit later on (goblin camp at the earliest), but even a Dex based Monk will do just fine in the early levels.
Well, you can stockpile some from Auntie in the druid grove, so basically at near the start of level 3, character-wise.