What second weapon for a WW barb?

Hey mates!

Currently have quite everything together except Enigma and my second Grief.

Currently running around in full Immortal King. So to say, I'm quite ready for an upgrade - except my second weapon missing.

What would you say, would a standard-WW-Grief loadout be much better than full IK?

And if so, what about the second weapon to use, until I get my second Grief?

1. Use a shield for defensive stuff?
2. Use another Unique/Runeword?

Bear in mind, that as only one

Lo is missing for me, I don't like to consider a BotD PB - I'd rather save these costs to pay for my second Grief.

But is there some kind of unique or cheap runeword out there that could make a nice substitute until it gets replace with the second Grief?

Thanks for your time and wish you nice drops!

I think Grief dual-wield bug is still present so you can technically wear any broken one-hand weapon?

Also, a pretty cheap and strong contender is Death. High crushing blow and deadly strike. Amazing for Ubers as well.