Greetings MarCar & all; I go around giving free advice & no takes it. Ya get what ya pay for! Looking for hidden problem & some hide better than others. When ya say ya got an 8.8, I'm just not sure if you're referring to a Ford (my best guess), a 8.875" GM 12 bolt, 8.625 (?) or some other unit I'm not familiar with? My first question is did ya get it out of a wreak & the housing is got slight mis alignment? Next who welded up the control arm mounts, & how the hell do you check them without a fixture? You have obviously checked drive shaft balance & angle? Have ya checked drum-rotor balance? Then ya ask the question, what should I do for the future? Ten guys will give ya 11 opinions! Anyway being that I'm not much of a drag racer as I only go once about every 3 years & I like to Auto-X also. I'm more concerned with Unsprung weight as most of my driving is on the street. If you're going drag racing a bunch, how can ya not have a 9" Ford, inexpensive parts & great availability? But I have read that the Ford 8.8" is nearly as bullet proof as the famed 9" unit & a bit lighter saving some unsprung weight. We just put one (8.8 F) in my buddies 1950 Chevy with disc brakes & I gotta say it seems to be a very well packaged unit assembly. But then we won't be dropin' the clutch at 5000 RRR's with slicks either. So to sum up my BS for free, if that is a Ford 8.8 I'd try to fix it by sending it out to a well equipped shop. Good Luck Ole' Bob.
Ps: I attached a picture of my 8.5 GM unit with gussets, 20 years of heavy use! Some would say abuse?