Such rear tire/body clearance items seemed to be more prevalent on the Slabe, by observation.
When I upgraded my '67 Newport CE23 to factory station wagon 14x6.5 wheels, with BFG Advantage T/A in P245/70Rx15 size, I jacked up the rear end under the center of the axle, then placed jack stands on the frame rails so the tires were not touching the floor. I then easily let the jack down to ease any possible body flex issues.
With that done, I removed the stock 14x5.5 wheels and P225/75R-14 tires. No problem. Lots of room, even on the side that was a bit tighter. Getting the wider tires and wheels (those old BFGs had wider and thicker sidewalls than normal tires did back then (extra material to protect the white sidewalls from curb contact!), so that extra bit of width offered some real challenges to get the widest part of the tires past the body AND brake drums! I figured out that if the car had had 11x3 rear brakes, it would NOT have worked. But I was able to wrestle things past the tight spot on the tight side and all was well. When I finally upgrade to 15" OEM wheels and normal P225/75Rx15 tires, I do not anticipate any issues. Perhaps this is ONE reason that Chrysler never did put wider than 6.5" wheels on C-bodies, until 1974? I never would have considered that rear brake drum width would affect getting a rear tire changed on the car!
In a shop on a body contact lift, no issues as the rear shocks could be disengaged with the rear leaf springs.
On these cars, the biggest tire was the 9.00x14 on the same 14x6.5" wheels I used. That tire size equates to a section width of 228.6mm, which would relate to a P235/75Rx15 tire size on a 15x6 wheel with OEM backspacing.
What wheels and tire sizes are on your car? Just curious.
Just my experiences and observations,
CBODY67