Shuffle themselves in cards

[Reeplcheep]

I am brewing a version of meandeck doomsday that can more easily go off the same turn it casts doomsday.

One pile though goes through 6 instead of 5 cards because it mills 2 cards and then draws 2 cards. Is there any card that shuffles JUST itself in that is more hard castable than guile?

[Fox]

Conjurer's Bauble

[Reeplcheep]

That’s a good suggestion if I have time to setup before hand, but I would prefer something that did it for free like Progenitus.

Alternatively, is there a Ray of Erasure that draws the card right away?

[ESG]

Is Dread easier to cast?

For your Ray of Erasure upgrade, would Preordain work? Do you need the card to be an instant?