I just tried it with the studio version, which sounds absolutely awful, because any pitch correction of more than 1 half step always does. But then I had the idea of taking a live version of Always (don't ask me where it was from, but it's a good one), which is already tuned down 1 half step, and tune that down 1 half step further. Here's the result:
https://we.tl/YyhEdSyMRD
Doesn't sound so bad and would be easier for Jon on the high notes, as well as giving his voice more time to rest in the verses, because they are easier for his current, turned darker voice as well.
EDIT: oops, I should've read more carefully. So this version is a full step down from the studio version, not the alreay down-tuned live version as efpg0708 suggested...