Last time I checked which was a few months ago, but it should still work(?):
Host needs to send you an invite while in fortuna (you cannot accept this invite)
They start the PT bounty and load into orb vallis
Once the host is loaded into orb vallis on PT bounty, you now accept the invite.
If it still works, you should load into the PT bounty and be able to get rewards including the bounty reward. You have to do this for each hunt, but it's better than not doing PT.
Not like it's impossible to get to rank 5 solaris. Easiest way granted is to be helped by others to farm Profit Taker. But you need to get VS ranked up for eidolon hunting anyways, and you need eidolons to get arcanes like energize.
Nezha/Rhino are pretty easy mode, Rhino can get some pretty silly ironskin numbers into the 300-500k with the right build. While Nezha is pretty similar. Nezha gives a huge damage vulnerability to enemies he hits with his ring, while Rhino gives a damage increase to all of his damage. Nezha gives more, but affects enemies (so less) while Rhino buffs himself. Rhino is a bit more microintensive since you need to use his ironclad charge.
Xaku is pretty good but as he only has dodge chance he can end up dying out of nowhere. You have to play a bit more quick for when your shields break but he has defense strip, scaling damage, the ability to kill enemies while not looking at them, and his 4 makes enemies weak to void damage which his scaling damage (stolen guns) do.
Zephyr probably is the easiest/best one (but also a bit boring), she can ignore all damage while grouping all enemies and dealing damage to every single one. While also increasing her crit chance.
Citrine is really fun has she has a unique build that not many frames use, instead of using flow you run equilibrium and synth fiber to infinitely pick up health orbs, which constantly gives her energy. As her 1 makes enemies drop health, it's an infinite loop. She also has 90% DR constantly due to killing to her entire team in affinity range, and she can give a huge critical buff when she stuns enemies and you shoot the crystals sticking out of them.
Revenant is pretty much is unable to die or take damage, and he can kill his thralls (who can be any enemy except eximus with overguard) with a 50% health drain that is unaffected by armor. So he can technically kill enemies to level cap. As long as you keep his mesmer skin up, nothing can harm you.
Can't you just buy them from little duck 1k a pop?
3 hours a week, for 15 weeks (5 weeks rotation, 5 weapons each week, can only pick 2 each) starts to become unbearable. Add onto that DE has said they are adding more incarnon weapons meaning they're probably just going to add in more week(s) means you might end up having to wait an entire month before you can actually obtain new incarnon adapters if you go crazy. I'd rather just pick 2 incarnons a week from the entire pool.
The entire issue is if you get all the adapaters for a week then when it returns, it's useless. Even more so for if you finish all the adapters and DE comes in and adds more like they said they want to.
I quit playing duviri after week 5 of SP circuit, I couldn't take the constant return to 5 missions repeating ad nauseum. The amount of time required to reach rank 10 in SP circuit, and on top the 5 week rotation with 5 rewards per week.
Coupling that with DE has said they will be adding more incarnons has left with such a sour taste. It's far too repetitive, too grindy, and extremely time gated. I'd rather get two resources a week that I can turn into any incarnon, even if I can only ever hold 2 at once. And dear god we need more missions that can appear so it's not so repetitive.
Here is my suggestion, it does require a forma'd nataruk but the thing slaps, so you should do it anyways. Any warframe should do though.
Limbo, DE has basically removed him already. Just finish the job.
Been like that since starchart 3.0
Lockdown and repair. They're both just too good, even with lockdown nerfs it's a really good arcane for last grasp to CC normal enemies and get free headshots to revive yourself. I could replace lockdown, but idk what to even replace it with since most stuff isn't that good looking. If dissipate wasn't such a nerfed arcane I'd probably pick that.
I forget exactly how the solaris rep grind works, but I know you need debt bonds to rank up which the PT farm can vastly help. Also VS needs resources to donate for rep which PT gives. As for rep farming, iirc the best way to farm rep still to this day is conservation with Ivara/Equinox with archwing, since you can do free roam captures and quickly hit max rep in less than 30 minutes. Brozime should have a video on farming open world rep since he did a f2p playthrough recently