What would be a “good” build for a dual weapon battlemaster half-orc?


I’ve started playing DnD for the first time two months ago (hey, coronavirus).

My character is a half-orc fighter, currently level 3. His attributes are STR 19, DEX 14, CON 16, INT 9, WISDOM 10, CHA 11. I’d spent a lot of time thinking about him at first, and I had a clear image of him wielding a battleaxe and a warhammer when fighting, and I really liked that. But then, as a noob, I wanted to see what was a “good” fighter build. Unfortunately, most of what I found led me to the same conclusion: Two Weapon Fighting is good for five levels, then gradually gets wrecked in comparison to a Great Weapon Fighter. What’s more, as I chose the Battlemaster archetype, some number of my battle maneuvers require a bonus action, which take away my additional attack as a dual wielder. And, unfortunately, last session, I already got to experience the huge difference in damage output between me and my party’s Paladin (who’s also using the Great Weapon Fighting style).

Since then I’ve really started to think about what I should be going towards while keeping what I had in mind. So, my question is actually be two:

  • What kind of build and multiclassing should I be aiming for ? (mainly talking about the ASI and feats I should use, dip in Barbarian ?)

or

  • Should I instead ask my DM if I could re-work my character, mainly to select the Great Weapon Fighting style (and make my maneuvers more reliable) ?

Just to be clear, I’m not looking to optimize the hell out of my character. I’d just like to have a bit of insight on the options I have so that I don’t “feel left behind” as much as my party levels up. This is my first campaign, my first character, so I’d really, really like to keep playing him without him being a Fighter that doesn’t do his job correctly (I’m the only other melee guy in the party).

Thank you for your time.