Trilogy? Triangulation? Triploblastic? Wait, what? [Trinity]?
Ok, [Trinity] it is.

One of my 4 main frames. Using her since 2013.
Perfection in perfection. First a global healer, now a destructive everything-killer.
Nice nerfing over there, DE. Braaavoooo!

Also here, a short demonstration:
https://youtu.be/4ngl1IZZrN8

[Trinity] is hands down one of the easiest to maintain alive frames ever + she can heal others, if you want to.

Forget about her first ability. There is no sense about that one.
Her fourth ability, Blessing, does the job faster, better, dee... ehem, I mean, more efficient. Also gives you a bonus on top: Damage Reduction (short DR)!

Her second ability, Energy Vampire (which I will refer as EV from now on), is a must have between your slicing sessions. It is as essential as Link and Blessing.

Your third ability, Link, is the ability, which will have the most effect on your enemies. It does link status procs from you to another entity (up to 3 at a time to be precise), it negates knock down, push back (mostly) and anything else proc related, if actively linked!
Also, with her augment, [Abating Link], and around 227% Power Strength, you are able to strip off 100% of the enemy armor. Due to the recent health and armor scale changes of enemies, this is one of the last full-armor strip abilities at the scene. No need for Corrosive and [Corrosive Projection] anymore!
Oh, and it also redirects a portion of damage back to enemies affected by the link.
We will only need a maxed Umbral Intensify and a 7/10 [Blind Rage] and not any higher. You can mix around with Power Drift instead of Blind Rage and such, but that won't make a huge difference - just being more cost expensive for no real profit.

Lets get onto it.

As you approach your enemies, use EV on one enemy. Don't wait for the duration to run out. Kill it immediately. You will notice, it will replenish an insane amount of energy. Sure, things cost much more due to the lack of energy efficiency mods and the usage of [Blind Rage], but it is worth it and you won't notice the drain anymore once settled up with +200 energy!
Next ability to cast: Link. Get that sucker up as fast and as often as you possibly can. The 75% DR of this skill seems only to take affect when you are actively linked to an entity. So make sure to stay around enemies. As Link is not the only ability with DR, Blessing gets handy in this case. Cast your EV a second time, kill the enemy and get your Blessing up. It will not only heal you entirely, but also add another 75% of DR layer on your defences for the duration of 28s.

There you go. You are set up. Now go kill stuff!

It doesn't matter which Melee you use. The only thing to consider: Fast attacking, be it spin2win ([Kronen Prime], even with an exquisite Riven isn't worth it. I even switched to [Karyst Prime], while I was using Orthos Prime prior to it) or anything else. You won't need any OP melee weapons anymore. Let it have slash, viral and / or maybe heat, and you are good to go.
It should have the mods: [Condition Overload], [Blood Rush], [Primed Reach], Attack Speed mods, [Weeping Wounds] and either Elemental or Crit Dmg mods.
Karyst Prime in this case is excellent. 1 Cold Mod for Viral and you can also add a critical damage mod on top of it.
No 60/60 Status Mods required.

Arcane [Guardian] and Arcane Strike are the "to go" additions. [Guardian] acts as a [Failsafe], when you miss to handshake Link and Blessing in time. Strike, as already said, is important for the speed. You will butter through enemies without no doubt. The speed is the key to be even more efficient.

And that is it actually. There is no need for an exilus mod (no mod capacity left anyways, umbral forma not needed) or anything else to consider. Not even a status stack primer like [Pox], [Kuva Nukor] or such required.

Naramon should be your focus school of choice, as this one here is most effective when using melee weapons, instead of guns (opposite of my [Harrow] build).

Have fun with this build!

Happy hunting, Tenno!

Best regards,
Pacheon