How long to cook bone in prime rib per lb at a low temp?

I understand the geometry of the thing contributes a bunch. I've got an 11lb prime rib, I think 5 ribs worth. It's getting dry-brined with koji rice for 3 days in the fridge which I think should bring it to down to about 10lbs. I'm just trying to figure out a ball park for when I should throw it in the oven. I did some googling and found estimates that were all over the place.

I was thinking 250*F for 5 hours would be plenty, but now that I see how wide the roast is it's got me worried. I could always cut it in half I suppose... But the question remains, what's a good estimate on time per pound of bone in prime rib?

There is recipe no that I'm following to include in this post

edit: forgot some important details! Editing to add them

I'm shooting for medium-rare to medium. I intend on letting it rest for like 20 minutes for carry over to equalize and then throw it under a broiler for reverse sear.

Edit edit: Forgot a much more important detail. Cook to temp, not time. I've got a nice wireless probe thermometer I use, but I'm trying to figure out when I need to put it in to have it done at dinner time.

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