Pardon my ignorance but what do you mean by Oem hard parts as far as the trans?
Stock shafts, hubs, planets etc. IE no billet internal upgrades are needed in my opinion for a 700whp unit.
And what about an s379 or 366? First time diving into all of this and just soaking up all the knowledge I can get.
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If you're towing heavy I personally would avoid a S366 or larger. There is not a faster spooling turbo than the factory LB7 turbo, especially if someone takes the time to port/polish it (retaining OEM wheels).
With compounds, you get that drivability plus EGT reduction and HP headroom due to the extra airflow from the atmospheric turbo.
A 65-66mm drop-in turbo will get you to your goal as well (or damn damn close in that 650-700whp range) and drive very well. I went compounds on my personal LB7 for that reason. My HP goals are a touch higher which is why I went S300/S400. I typically don't use over a 64mm drop-in with a slightly upgraded turbine on things that tow heavy as I do not like how unresponsive they are.
The S364.5/68 spools about the same as a smaller drop-in turbocharger but does flow a fair bit more, it also costs significantly less. This matters because by the time I purchased the compound kit
AND an upgraded drop-in turbo it is comparable in cost to the S300/S400 setup once you factor in the cost of turbos. If someone is doing it all at once then this is absolutely a viable option.