As much as I enjoy theorycrafting as the next person*, I find the exercise unsatisfying from a chargen standpoint. From the early days, when it was obvious to all that d8 was preferable to d6 damage, to today, when we determine that, given all situations possible, that 31.285 DPR is obviously and clearly superior to 30.896 DPR, I think something has been missed.
For example, it is somewhat difficult to determine what, in DPR terms, proficiency in all saves is worth. Or, for that matter, the ability to fall without taking damage. Or increased mobility on the battlefield (which will matter more, or less, if you're using a battlemap or theater of the mind).
A monk does have difficulty keeping up in a theorycrafted DPR tournament; but in that case, I would recommend not picking the monk.
The monk is not supposed to be your frontline fighter (there is a name for that, which is likely, "Fighter"). But I've found it a very enjoyable class to play. I would even go so far as to say that one of the monk's abilities is tied into not needing magic weapons, which is kind of cool as well.
Of course, if you prefer to run a more combat-oriented campaign, then you should disregard this. IIRC, there is an item that you should look at- Insignia of the Claws (Hoard of the Dragon Queen).
*So long as the next person doesn't enjoy it.