Rear End Noise 8 3/4

You need to check the wear pattern on your gear set. To check this you will need marking compound. Chances are, if you are hearing noise only on acceleration, the pattern is off on the drive side of the ring gear.
Pretty much, you'll pull the third member from your rear, set it on your workbench, paint the compound on 3 or 4 ring gear teeth, then turn the drive pinion one full turn in each direction. The gears will mesh as you turn and there will be marks on the ring gear teeth where youur pinion contacts the ring gear.
You look at the location of the wear pattern to determine what needs to be adjusted, depth, preload, or backlash.
Then, depending on your rear, you would adjust with shims, spacers, or crush sleeves