I don't think there is a T3 s400 turbine housing, and looking to get rid of the journal bearings with an S400
You should give more info about what you use the truck for if you want the best possible advice. Since you're going big single Ill assume you don't tow heavy and give you what I was eyeballing.
For cheap(ish) an S467.7 FMW with a .90 A/R turbine is a solid match for a 6.6L from about 2000-4000RPM. You could maybe still tow, spool pretty quickly, and peak over 600 with easily manageable EGTs for about $1400. It looks like Fleece endorses the 467.7 with larger turbine wheel for $1800.
For the big pimpin solution I was pretty enamored with the Garrett GTX 4294 seems to outflow the 467 and built on the legendary GT42 ball bearing cartridge. Not many people have run this on a dmax from what I can find but the results should be the same as above plus ball bearings and water cooling.
I don't have any hard data to backup this next point, but my engineering gut has me convinced to do a cam swap on my own truck before up pipes or headers with a big single. I have no experimental data and probably shouldn't even suggest it, but I think a more aggressive exhaust opening on the cam would have a bigger impact on turbo spool up. Also the weird dmax factory firing order seems to be the engines only real design flaw, so I'd make it an alternate firing order cam and solve that issue too.