I assume you are gauging the "backlash" by how much you can rotate the driveshaft back and forth, right? The only way to measure actual backlash is to drop the thirdmember out and use a dial indicator on the ring gear. The "play" you are seeing/feeling is the slack in the spidergears, as well as the actual ring and pinion backlash......so again, you can't determine actual gear backlash by how much the driveshaft will rotate back and forth.
If the rear end is making noises have you checked the oil level (making sure it is filled properly), and checked for contamination (water)? Have you tried to move the rear driveshaft up and down, back at the pinion....if it moves up and down, that means your pinion bearings are loose and the third will likely have to be dropped out to fix the problem (unless it happens to just that the pinion nut has came loose (which it shouldn't, since the nut is supposed to be staked) and you could tighten it back up for a temporary fix).