Crucible of Worlds and The Great Henge aren't budget options, but you could take this base list, drop out the most expensive cards and probably get yourself to a fairly budget-friendly deck that would still play pretty well
While we may get Llanowar Elves, Elvish Archdruid, Dwynen's Elite, and Lathril, Blade of the Elves in Foundations , I don't think those cards can realistically beat a Day of Judgment deck
The spells that reanimate aren't too plentiful, making it harder to achieve your primary goals
Put both cards onto the battlefield under your control, then shuffle
The sideboarded games play out very similarly to pre-board
We can't tell from these cardinal moments who actually wins the fight with Tezzeret, nor much of anything about Baral's place in the overall narrative