Well, for all intents and purposes your R-car is a B-body, and B-body
wagons '71-up used the C-car axle. The added overall width won't hurt--I had a rear-disc 9¼" from a '74 Imperial under my Super Bee and it went in like buttah. I never drove the car, but it was apparent tire rub would not be an issue.
I'd probably go Auburn, but even if you go used the factory cone-types last forever. You can't use the clutch-type Trac-Loc as used in later pickups, because the C-clip size increased in mid-1984, then the spline count changed in, I think, 1997... right around the time the Trac-Loc came online. If you're junkyard scrounding and find an '84 truck with a Sure-Grip, look for a huge "X" stamped into the case near the cover flange, usually on the passenger's side. That "X" indicates the big C-clips, and you won't be able to use it as there's no way to adapt your axles to that clip size. Trust me, we tried with my friend's '79 300.
Somewhere, I have a pic of the NOS Mopar 1971-to-mid-'84 9¼" Sure-Grip I bought off eBay next to one from an 8¾", and it's friggin' gigantic compared to the dropout rear's unit. Way bigger than the ½" of ring-gear size would indicate. With proper maintenance, I wouldn't be surprised to see one of those still burning both rear tires at 200,000+ miles.
I got that diff for $20, because it was listed as "Chrysler differential, partial". In Mopar-parts language, that means it didn't come with a ring and pinion or housing.

It was a ready-to-drop-in deal. Unfortunately, I sold it a few months later, effectively ending my dream of a narrowed 9¼" in the LeBaron.
I also had a one-of-one, brand-new set of 4.30:1 gears for a 9¼". Where did I get them? eBay. Where did they come from? I have no idea, but there was a Dana/Spicer logo stamped into the pinion. Unless things have changed in the interceding four years, no one makes--or ever made--4.30 gears for the 9¼". Even Dana/Spicer couldn't explain them to me. They had no record of the numbers, nor did Chrysler. I got over $500 for that set of gears, because from the extensive research I did that was the
only set of 9¼" 4.30s ever made... and man, did I get the questions from bidders on those: "They must be from something else!" They weren't--I added pics of the ring gear sitting on the 9¼" diff, and the pinion next to a 3.21 pinion I had lying around. "You're counting the teeth wrong!" So I posted very-clear pics of the end of the pinion and the ring gear, so they could count them themselves. In the end, the guy that got them was overjoyed to have paid more money for a stinkin' gear set than anyone else in history.