IMO you probably want something larger than 190s to take advantage of the compound setup you are describing.
If you use a stage 3 vgt for you HP turbo then the truck will only spool as fast as the HP turbo. If you don't have enough fuel to take advantage of the extra air from the LP then you will not see very many gains in hp, tow ability, drive abilty etc. The reason I mention that is many people run 190s with just a stage 3 and have great power, great driveability, egts, etc... You could just run the stage 3 and be happy with 190s. No reason to add a huge lp charger to a turbo already sized well for the injectors.
Not bashing your idea but I would not do the setup you describe with 190s... either the injectors would have to be bigger, hp turbo would have to be smaller, or I would not do compounds and just stick with the stage 3 turbo