Elwenil said:
There is no way in hell I would run any considerable amount of horsepower through the stock 9 1/4". Even with the band-aids available for the crush sleeve and backlash adjusters, it's still a C-clip axle with a bad pinion bearing design. If you weren't wanting to go with 8 lug axles, I would be looking at a prepped Ford 9" at the least or maybe a D60. Personally I would go 8 lug and swap in a later 14 Bolt with disc brakes. If 4WD is not needed, then I would just convert the NP203 to part time, and then convert the stock D44 to 8 lug to match and call it done. Then I would sit around and think about how long the converted NP203 is going to last under that sort of punishment.
Agree with that one hundred percent on the 9 1/4. I would also be worried about the Dana 44, I know how crazy I can get sometimes and if I had that much power that is all I would want to do.

But hey if your not paying the bills, let the owner decide on how much money he wants to drop and then drop again. As Elwenil stated the 203 probably isn't going to last either. I would recommend entire drivetrain be upgraded to probably custom built stuff. Don't know anything about modern T-cases, but 205's can be readily bought custom built. Don't forget driveshafts and ujoints as well. As you will find the bigger you go on one end you must build and match through to the other. Most of us learn that the hard way, killing budgets and projects along with the parts that fail.
Rearend choice would be limited to dana 60's at least. But again you are needing them custom built, and as Elwenil also stated you will need disc brakes (big ones on all four corners). I know the later heavy duty trucks have big enough rearends, but the problem is they are all driverside drop on the front diff. Hence the 93 cutoff year to find them/use. I know kits from large companies for brakes like baer, wilwood and the like are very limited in the support of our trucks/chargers/dusters with stock components. That is why custom is probably the only way to go.
Just an FYI, the rear-ends of the Dodge Demon have recently been exploding under launch conditions at the strip too. These are supposed to be prepped for their amount of power and abuse but after a year looks like they are failing too and seem to going into a million pieces. Check this video out,
Don't know if your client is boosting the power up on this hellcat motor or not. I bet your client will want too based on putting one into a 79 TD. So overkill on the build may be best option from the trans to the tires. Also how does this guy drive?
Best of luck and keep us updated on the progress and which way you go.