Think about what you just said??? You are trying to combine the transmission with the rear end gear, and you are not thinking about overall gearing.
Most transmissions (47 & 48RE) have about a 3. 42-1 first gear, a 2. 73-1 second gear and a 1-1 third gear. The newer tranys have a overdrive which is about . 79-1 (21% overdrive). The ratio in the transmission, is a relationship between input rpm (from the engine) and output rpm (leaving the transmission), it has nothing to do with the rear gear, but it does effect the overall gear (the overall gear takes into account all rpm effecting devices, transmission, transfer case, and rear end gear).
If you were in first gear (3. 42) with the TC locked and had a rear end gear of 4. 11, the overall gear would be 14. 06-1. Or the engine would spin over 14. 06 times for every full turn of the rear end, a pretty slow go. If you were to drop the transfer case into 4 low (2. 71), with the same scenario, the ratio would go to 38. 10-1. The engine would now spin over 38. 10 times for every full revolution of the rear end, an even slower go.
If you can see the above and how it works, then you would be able to see that what you proposed would never work.
The overdrive unit on the transmissions in question are suspect, they have to live in a very intense atmosphere. They see maximum torque and maximum load, and have to survive. Unfortunately they do fail, usually while towing or hauling a very large load. But then again they see the highest demand of all the gear sets. The engine is running in the rpm range where it makes it's largest amount of torque, and the torque converter is locked up, which throws all the load on the OD gear set. If something has to give, it will be the band that holds it into OD, which is what always happens. We abuse this band and after some time if refuses to hold, viva the shudder then slip syndrome.
For what it's worth, heat plays a very big part in how long a transmissions life will be. The use of a auxiliary transmission fluid cooler is a very wise investment.