The traditional Rez Priest is passe. Enter the Odd variant.

What differs Odd from the normal variant is obviously being limited in card choice, but it has a key component - Heal. Restoring 4 Health is a lot against more burst oriented decks like Secret Mage, which will, alongside Darkglare Warlock, dominate the majority of the ladder. Most of our minions do not actually mind being hit by Explosive Runes - either to shuffle Reliquary Prime or kill an enemy via Convincing Infiltrator. While Counterspell is a bit of a boner, we still have plenty of spells to trigger it, or maybe Discover a few.

As Res Priest usually does, it generates tons of value by resummoning waves of minions, and we have a lot of tools to do so... just using underplayed cards like Twilight's Call and ye olde Onyx Bishop. We can add up to value with Archdruid Naralex who can benefit from Res effects in some ways to give us even more Dream cards.

Sadly, card draw is lacking. You may resort to finding a few cards that can draw or else cosplay current Standard's Control Priest.