Yep I can verify this can easily solo the game, BUT this combo requires community patch for focus generation to work correctly.
I'd do a pure forbidden fist, you don't have to cast spells as often, and it doesn't require the community patch (though I'd recommend using it anyway).
The main thing to note is with a forbidden fist using the forbidden fist attack causes "forbidden curse" to build up, so you have to have a pretty specific stat spread for you to be able to spam forbidden fist without damaging yourself. The relationship between intelligence (makes the curse longer, but also your buffs), dexterity (how fast you can spam forbidden fist), and resolve (reduces the curse duration) is a little tricky but once you get it right it is very easy.
Basically you want 35 resolve or as close to that as you can get. It is actually doable with the right items, boons, and buffs, even without a steadfast inspiration (which soul blade could give you for +5 resolve). Check this thread for specifics and also an alternate multiclass build that would fulfill what you're looking for. Then your intelligence should be no higher than 13, in which case you can dump dexterity to 3. You will still attack once per 2s roughly with monk's swift flurry. Alternatively you can dump intelligence, which allows you to attack a little faster, but your buffs won't last very long. Then again only buffs a SC monk really needs is swift flurry and clarity of agony. Clarity of agony is important for reducing hostile effect duration by 50%.
With 35 res, 13 INT, 3 dex, swift flurry, clarity of agony, ring of the solitary wanderer, two-weapon style, dual-wielding, and strand of favor (all available before halfway through the game) the curse lasts about 2s and you can attack every 2s so it is perfectly balanced. If you want to be extra safe dump dex to 3 and leave INT no higher than 10, gives you a little more room regarding getting your resolve to 35. You should note without the community patch forbidden fist does not benefit from dual wielding, so in that case you don't dump dex, the curse will last the same amount of time but with 3 dex you can only attack once per 2.8s or so (with robes or no armor, which you don't need), so you'd want dex a bit higher. You don't need much CON, PER should be high, can have might wherever really, don't need a lot because the FF attack has a +50% damage modifier and you get another +60% or so from transcendent suffering.
Then you can make a very simple script to buff yourself with clarity of agony with a cooldown of however long it lasts for your character, cast swift flurry when you don't have the dexterity inspiration, and attack with forbidden fist. Three blocks.
If you want another good alternative FF / unbroken, this is made by @Not So Clever Hound