Yeah im struggling with T5 doing rifts and bounties at times too. Im not getting any gear drops i can use really. I can make 2 or 3 parts of the Devils set, is that any good? I have corrupted ashbringer as a weapon. What do those abbreviations mean that you listed? Ive played this very casually ever since PS3 release, now I have it on PS4 and its something i want to get into in a bit more depth.
Oh okay. In that case, the only thing you really want from bounties is a Ring of Royal Grandeur from Act 1. Past that you don't really need to do bounties unless you run out of materials for cubing imo. Also, I'm speaking from a PC perspective and I don't know what differences if any are in the console version.
I'm not familiar with the Devil's set you're referring to but since you can make it I assume it's a blacksmithing recipe? The only recipe I can remember being worth anything would be Aughild's so if you want you can use that for a temporary replacement as its 2 and 3 piece bonuses are pretty legit. The Ashbringer is fine for now but eventually you'll want to get a weapon more build specific.
Anyway, what I would do is pick one of three monk sets to build (Inna's, Uliana's, SunWuko) and spend shards at Kadala until she coughs up enough armor pieces for the 6 piece bonus.
If you go Inna's you'll want to save either the boots or cubed armor slot for The Crudest Boots (boots). This will double the allies you have out increasing the 6pc bonus damage from 250% to 500%. Inna's offers the most flexible build paths since the 500% damage affects all your skills.
If you go Uliana's you're going to need Gungdo Gear (bracers) or a Madstone (spirit stone) to reliably make use of Uliana's 6 piece bonus (just 1, not both). You're also going to want to cube a Flow of Eternity (daibo) and dual wield Fist of Az'turrasq and Lion's Claw (fist weapons). The best way to get those (and any other weapon really) is to use kanai's cube recipe that upgrades a rare item to a legendary. You can spend shards at Kadala too but I'd advise against given how diluted the weapon pool is unless you really don't need anything else.
If you go SunWuko you're definitely going to want Kyoshiro's Soul (belt). It'll help you keep up Sweeping Winds while you're running around. I would run a Wave of Light build utilizing Tzo Krin's Gaze (Spirit Stone), Pinot's Pride (bracers), Kyoshiro's Blade (fist weapon) and Incense Torch of the Grand Temple (daibo). If you cube the Incense Torch, you can also wield a Vengeful Wind (fist weapon). With all that set up you play more as a ranged class since TKG allows you to case WoL at range.
There's a lot more depth to each of the builds but I think those would be good short term goals that would make T6 farmable. r/diablo3monks still has patch 2.3 builds for Inna's and Uliana's in the sidebar that should also be viable in 2.4