No way if you are in the USA.
You realistically have one option for that power ceiling and its the RB26dett
Need a part? Car is down while you wait on Asia to ship you something over the world's largest ocean.
So you say, no prob, go with the VQ35HR.
Here's an LS1 on the left next to the VQ on the right:
5.7 liters next to 3.5 liters
Infinite after market next to a harder to find HR that you'll have to gut anyway to make real power.
I agree on the concept, I'd never put a chevy motor in a 240z due the heritage factor in the old z car.
But same power ceiling? Not even without a ton of money and compromise.