OP, swapping a complete 1031 rear end assy. will be MUCH less work and faster than a complete ring & pinion swap.
I've done several..... special tools and special skills are required. TBers are known to "throw parts together and hope", but it you want a quiet and reliable rear end, that will endure periods of HIGH torque application, there is no alternative to spending valuable time & resources to get it right (preload on pinion bearings, correct pinion depth into the hypoid ring, and proper carrier bearing shims/preload so that backlash is correct). Too tight, she burns up.... too loose, she whines like a banshee.
Save yourself the pain and "learning"..... swap a complete known good rear end assy. and enjoy a cold brewski.