Have you considered something like Way of Shadow Monk 9 / Gloomstalker 3? It gives you +3 Initiative, At Will Shadow Step, bonus action dash, and thus basically rolls in 3 of 4 feats into the base package offered by the classes. Plus it has at will invisibility, making it easy to hit and run, and bonus attacks when you're doing so. You have 1 less attack while hasted outside of the first round of combat, granted, but then you can take Tavern Brawler, which is so good that your average damage will come out ahead anyway.
Unarmed, with Tavern Brawler as 9 Monk, no Ki expenditure, "only" Str 23 (+18 to hit, +12 Str +4 Prof +2 Items) (Deals 19.5 average damage, 4.5 Weapon (1d8) + 3 Items + 12 Str)
Kitted as listed, unhasted, Str 27 (+14 to hit, +8 Str +4 Prof +2 Items) (Deals 18 average damage, 7 Weapon (2d6) + 3 Items + 8 Str)
Now the question is what gear you would use with that, as there's no reason to actually be unarmed, and you can choose to be unarmored or not. But you can also use whatever gear sets are logical for the encounter in question, since literally all the loot is yours. Hey again nothing wrong with doing it the way you like, it just seems like a lot of resources are being sunk into making a Fighter more like a Monk instead of just being a Monk. If you did try this, and didn't like it, why not?
