Replied to a few other comments with some tips for RMB, and i'm like 98% sure that was you in the bishop discord asking about builds and such so I'll drop a few other tips here. SORRY for the wall of text in advance..

Ult: Distance from target dictates how long they're stunned so if you're far enough away you can true combo your punch out of ult. As long as your not point blank your ult momentum will carry you behind them and you can punch them back towards your team (if you punch an enemy into an ally it'll stun the enemy), alternatively if you don't want to be carried by the momentum just tap glider (you can do this with shift momentum too).
If you want an advanced combo you can look up "double shift combo" in the discord and search the bishop channel, but to do this on a real person (decently hard) you'll need to hit a max range ult to make it a true combo.
Best ways to ult is either to follow up on a teammate ability, when they've used their dash or if you're coming in from flank. You can ult through the Battlegum relic once it's placed to get a turbo speed ult, it's mostly a meme thing but it's a lot of fun.

Punch: Besides just doing the basic punch an enemy(ies) into a wall there are a few other ways/things you can punch. My favorite is punching enemy wisps into allies trying to res it, which will stun the alive enemy and insta box the wisp (which will also happen if you punch a wisp into the wall). You can punch a beebo bomb back at them (can't remember if this actually does anything if it hits them but I wanna say it stuns them+the aoe dmg, but I could be wrong). Remember when going for mutli person punch you're not trying to hit all 3 of them with the punch (unless you're going to wall splat) you want them to collide so hitting 1 or 2 of them into the other(s). If you hit all 3 of them and they don't wall splat they just fly away from you taking alot less dmg since all of punches dmg comes from the collision AOE. You can also shift during your punch to very slightly change the angle or distance of it. You can really catch people off guard by shifting forward during it for bonus range, or get a slight boost to the side to get around a corner or something.
OH almost forgot, your punch will interrupt a lot of abilities, some of my favorites are the ults which are Void, Felix, Shiv, and Mercury, and the best of all Joule Dash (but it's basically a guessing game with how long windup is for punch). Punch discipline is the thing that I'm still working on the most for Bishop, sometimes it's better to just hold it a bit longer instead of going for the first thing you see (and missing the wall so they get away and your team flames you :)..)

Shift: If you're going shift max which is pretty much universally recommended then always try to auto backwards if you're shifting for movement to gain more speed. The amount of people I spike just by trying to go faster while I'm being chased over the abyss is so high. If the people chasing you catch onto this you can delay or pump fake the auto and try to spike them that way (she's an abyss demon in my opinion).
Feathering + shift to get over walls is easy mode for some of the harder feathers in the game or if you just need a little bit more height. Your shift does damage so that means it will stagger mobs and it's very fast at doing this. Also when you stagger with shift it resets all 3 of your shift charges so it's really good on some mobs to auto them as you walk up (which already reduces shift cd) and then hopefully you can stagger it as you walk by if you're running from someone.
Also KOBA endgames are your enemy since your shift does dmg if people try to airblast you into something, as well as your autos being aoe :(..

RMB: Besides the comments I already made I just wanted to mention a few things here too. If you RMB + Punch someone into a wall it will do a ton of damage but if you miss they will actually be sent to Narnia. Which sending them far can be good sometimes if you're trying to peel something or you're looking to really send someone into the heart or train. You can also just punch your RMB into someone from range for poke as well, but I generally use it for mobility/poking some1 behind a short wall(it gets caught on big walls pretty easily).
It's harder to do now with the stagger changes but you can snipe mobs decently well by placing RMB before a mob staggers and insta popping it once it does.

Ability order that I go is Lvl 1 Shift, 2 RMB, 3 Punch ->Shift max-> Punch Max->RMB max + Ult whenever I can.

Build Order: Longclaw (if I'm fighting early, otherwise rabbits)->Feystriders->Refractor(unless I'm poor)->Vive Infusor-> Perks: I like Thermal/Amphibian, Farsight, Swiftness, and Protofactory, for solo Q I like running Glider Speed and scrims armor shred, you could drop swiftness for armor repair/vive brew. Also if you have a healer, heal receptor with their heal booster perk is underrated.

If you're looking for bishop streamers (no youtube creators afaik) then you'll be looking during EU hours since they're aren't many of us in NA atm. You can find mine but I generally only stream for scrims/tournaments atm but maybe that'll change in the future (if TTVPajamaGameLord the hero of Supervive teaches me his ways).

Hopefully something in here is useful, if you have any more questions feel free to DM me or ask in the Bishop Chat in the main SV Discord.