400HP on 7.5 or 7.625 will work woth street tires for a long time, but with sticky tires , a suspension built to launch, and a 3000+stall it's a time bomb. It's the shock load from launching hard that will destroy it. If that isn't in your plans, then you'll be fine. I migh have mentioned this before, but we ran a 7.5 with a used Torsen from a late 90's Camaro with S10 axles for a full season of spirited driving with drag radials.It also has a girdle. We were making 400+whp (not crank) and it looks like new inside. We also used a set of junkyard 3.42 gears.
You're cheapest way out (and functional) is to find a used Torsen - $150-200, a bearing kit - $80, and a set of Moser axles - $280 shipped.
The rear I described above is now our spare. We did upgrade to a GN 8.5, but went with a 31 spline clutch posi and Moser axles. But we're making well over 500whp now and figured the 7.5 with the Torsen wouldn't take it for long. Our car is daily driven (hard), and if we ever manage to break to the 8.5, then we can swap out the complete 7.5 in 3 or 4 hours and run it until we decide what to use next. Just have to use our heads when driving it. And FWIW, we have $1800 in the 8.5.
Someone posted that it is easier on the rear with taller gears - that is incorrect. A set of 2.29's will smash the axles or pinion gears long before a set 4.10's - it's simple phyics.