06.09.23 Edit: Previous iteration of the build was nice and worked almost flawlessly, but it's been always bugging me that I had no practical use for Shurikens and no armor strip which become somewhat essential these days.

With this "new" build you can utilize all the [Ash]'es kit, the only downside might be energy efficiency and I don't have big enough brain to decide to either use [Primed Flow] or [Streamline]. Either way, there are plenty of ways to top up your energy pool, so I don't worry about it that much.
[Ash] in general works great with Skiajati which gives him invisibility on finishers.

Gameplay loop looks like this:
See an enemy - press 3 (in case you see group of enemies - press 2 and then 3).
While invisible and you've got enemies ahead just press 4, do a brutal and manly 360 with your mouse and press 4 again.
Congrats! You're probably invisible now for 45 seconds and have 7.5k EHP without having no stacks of adaptation.
In case you see a bigboy with armor - powerwalk close to him and press 1, after that you've got whole 6 seconds to kill a weak, pathetic and unarmored target.
Flex in front of your adversarie's fallen corpses, refuse to elaborate and continue with your invisible Blade Storm routine.

Have fun :)

08.09.23 Edit: PREVIOUS ITERATION OF THE BUILD WAS NICE AND WORKED ALMOST-ALMOST FLAWLESSLY, but then I've subsumed [Kullervo], found out about Wrathful Advance and decided to drop Marked for Death.

Wrathful Advance gives us insane crit chance on cast and works very well with Blade Storm which pumps us up with combo counter. Marked for Death works well for it's intended purpose of the nuke in 10m radius, but it has it's flawes. For instance, if you want to nuke you have to be sure to cast it on not only full health target, but target with high ammount of HP to spread the most damage amongst enemies. Again - it works, but it needs a bit too much prep compared to Wrathful Advance. Moreover unlike Marked for Death, Wrathful Advance works with the whole kit in synergy and just feels quite nice and flashy to use.

At this point I'll just link my [Skiajati] that synegrises well with Ashe's kit: Skiajati: "So confirmed Ashe's #1 helper is a Skiajati"

New gameplay loop looks like this:
See an enemy - press 3 (if enemy is tanky bigboy either press 2 and then 3 or armorstip him with 1 and kill that armorless pathetic excuse of a being however you like).
While invisible and you've got enemies ahead just press 4, do sick and swag 360 with your mouse and press 4 again.
Congrats! In conjunction with Naramon you've got CC ability that melts enemies around you (4), you've got a nuke that... well, nukes your opponents (2) and in case this wasn't enough - you've got yourself a backup nuke that would work even without x12 combo counter (3).

Honorable mentions:

If you have blue archon shards (which are probably the most useless out of all of them) you can give [Ash] additional energy pool and swap [Primed Flow] for [Primed Continuity] to [Extend] both Shuriken's armorstrip and Wrathful Advance critical chance durations. If for whatever reason you have more of the red archon shards - do the other way around and bump your duration with red shards and keep [Primed Flow] in place.

I'm a part of ADAPTATION4LIFE gang and refuse to swap it for anything else, it has become an essential part of my every warframe (just like [Umbral Vitality] \ [Umbral Intensify] combo). With current setup (huge ammount of armor & constant invis) you can drop the idea with shards and just add [Primed Continuity] in place of [Adaptation]. I will probably work even better, but still I just refuse and you can not change my mind.

I just wish that DE could buff Blade Storm by adding some kind of an area around the crosshair so you don't have to precisely pick each target to cast your ability on. It really hurts the pace and makes me actually not want to use the ability - it's that annoying.

Have a good day and please, please have fun :)