You can, but sneak attacks from daggers end up being much more powerful with Assassin's Blade perk: Daggers do 15x sneak damage, swords do 6x.  If you dual wield Mehrune's and Blade of Woe, a double sneak attack is almost always an instant kill.  If you use a sword instead of a dagger, you can skip Assassin's Blade and Deadly Aim (if you forgo sneak bow attacks) and free up two perks for other places.

I've never known it to glitch like that before, maybe vampire and necromage is the cause of it.

I would choose it rather than a dagger. I like assassinating with swords way better than daggers. Using Shadow Warrior + Lingering Damage Health with x6 is pretty cool for me.

Swords can still do lots of damage in sneak, they can have fortify one-handed enchants to boost damage on items, plus shrouded gloves/hand wraps to double the damage too. Also can add critical chance to add to sword damage as well. And if your detected they put up more of a fight than daggers due to higher damage out of sneak.

Went ahead and updated the name.  I did a quick search and didn't see another build using it.

I updated the build to use this.  I did a quick cheat-test (playing on PC) and added the perks.  It seems as if the invisibility from Shadow Warrior is applied second and overwrites the invisibility from Shadowcloak, then it expires after 1 second rendering shadowcloak useless.  With this in mind, I set it up to pre-cast invisibility, sneak, and then release it.  This achieves a very similar effect.

Has someone managed it with 2 handed weapons? I've given it a try and only managed it once, because the swing is very slow, so I'm detected before the weapon hits

I don't know if I'm just not used to it or if this is related to my 3/5 in stealth

100 Sneak and 3/5 stealth should be plenty, then problem is when you start an attack animation it applies major penalties to stealth (similar to casting without quiet casting).  I'm not sure if muffle would help this or not, but a bound battle axe might, as the weapon has no weight, and weight is a huge factor in a lot of those kind of calculations.

haha, yeah, I guess it will.  Oh well.  I should have rethought the name when I thought about making it less gender specific by saying Wet Boy (or Girl) and realized that opened up some double meaning I didn't want.

Thanks!  I will eventually make a perk picture like many others have, I do not currently have my laptop with Photoshop, however, so I'll have to wait.