IiPunch - Monk Guide

Herculean Set:
Pretty nice in all slot with the right augments. That is lots of acc/att and TA for TP. I see getting +STR as icing on the cake.
A set with these stats is gonna be awesome for TPing, but pretty decent for WS too, no matter the type of WS.
Despite multiattack being better for reaching 1000+ TP faster, Crithit is an often underestimated stat in the TP phase and on some targets can produce unexpectedly good results, as far as I can tell from the spreadsheet.

Adhemar Set:
Head, Body and Hands are very nice for TP, I'd go path B.
Feet are nice but have no acc, and if you go Path A for a tiny bit of Acc, you get AGI instead of STR which is useless for MNK.
Not sure I'd go for these if you don't own them already, but if you do hey! Inventory saving!

Rao Set:
Other than Regen (lol) there are nice options for all slots, mostly for WSs.
The problem I see with this set is that, aside from body, it's a similar situation with Adhemar Feet.
Each piece has either +acc or +att, good amounts. The ideal augment path is B (STR+10, DEX+10, Att+15), but the attack provided is "only" +15, and if the base piece already has att and lacks acc (like legs or hands) then you can go for path A that gives you Acc/att +10. But it's "only" +10 and you lose the Stats+ from path B.
Feet also have an interesting aug on path D for critbased WSs.
Keep in mind this set has no +HP, which acts in resemblance to the -HP effect the original lv75 set had.

Ryuo Set:
Again, same situation. Except body each piece has either +acc OR +att.
You can then go for the "ideal" augment path A (STR+10, DEX+10, Accuracy+15) or go for path B and get a bit of Acc/Att but lose the stats.
The good part is when you synergize Rao + Ryuo, it's possible for the feet and hands slot.
Could go for Rao Hands + Ryuo Feet for non-acc sets, and Ryuo Hands + Rao Hands for Acc sets!
Ryuo has very interesting path D for both hands and feet.
But that's a lot of inventory, you might say. If I were to choose only two I'd go for Ryuo Hands and Rao Feet. Think the HQ version is pretty close to still being the best option for stuff like Vsmite, and the lack of att on a crit WS is gonna hurt less than, say, WS like Raging Fists.

Random AF/Relic/Empy, Sinister Reign and other Gear:
Leaving aside chakra stuff, AF hands give a substantial increase to Boost, but more often than not the JA delay consequent its use is a DPS loss, unless you stack it before engaging etc.
Empy body is a nice TP option during Impetus, and likewise WS option for crit based WSs.
Empy legs are not the best anymore but they're still pretty good for TP if you wanna start from somewhere.

Rawhide Body, as mentioned above, can still be an awesome TP body with path D, and nice WS body on Path A. Depending on the WS of course.
Abnoba's Kaftan is another pretty awesome WS option for crit-based WS which proves to be nice even during TP.

Talking about Sinister Reign Dampening Tam with perf augs is still awesome for TP and sometimes very good for WS too. Provides loads of acc and QA and nice base stats too.
Samnuha Tight speaks for itself and it's pretty awesome for WS and TP as an all-rounder.
The H2H weapon with perf augs are incredible with the right buffs. Don't get fooled by the low damage. I haven't tested them thoroughfully but Capuchin did if you wanna read.

I left aside Taeon because unless you have perf aug pieces, I wouldn't bother with them. Can get better results with Herc gear, or even with fixed-augments gear.