Just making a suggestion here...............
If you do decide to go w\ a 3.90 gear set for this Ford 8.8", do not get the 3.89 actual ratio Ford 9" OE 9 pinion\35 ring tooth count pattern (this is the noisy 3.90 gear set as it is a non-hunting set) gear set, only get the 3.91 actual ratio aftermarket 11 pinion\43 ring tooth count pattern (this is the quieter 3.90 gear set as it is a full-hunting set) gear set.
The only 2 brands I've found that offer this quieter set of 3.90 gears (3.91 actual ratio) is Motive Gear & Nitro Gear. Richmond Gear & Yukon Gear offer the noisy 3.90 gear set based off the Ford OE 9" 9 pinion\35 ring tooth count 3.89 ratio (these are the 1's to not get even though they'll be the cheaper sets).
These are the only 4 brands that I've found to date that offer a 3.90 ratio gear set for Ford 8.8" axles.
1 more thing. All these 3.90 gear sets are made using the 5-cut face milled gear tooth cutting process so make sure that you use the matching gear checking pattern when setting them up using gear marking compound.
Not all gear sets made for Ford 8.8" axles are cut using the same gear tooth cutting process so be aware. There are 2 cutting processes used (5-cut face milled, 2-cut face hobbed) which are geometrically different & the pattern moves different between them when moving away from center so make sure that you're using the right checking patterns that match the tooth cutting process used to make the gears you buy.