Can a 400BBM w/cheap aluminum heads compete/dominate against the street LS?

I don’t mind losing to more money, and most here (SATX) don’t sport so much effort; I am aiming for the LS swap guys or the occasional LS build. The 400 I have was $250, speedmaster heads were $500+ ...am not looking to fight Tyson for the championship, just whatever the average contender is that pulls up besides me.
Step one, if i was trying that , would be getting the best heads you can afford. Step two would be stroking it to 470, or 512 inches. Step three would be a big nitrous setup.
I have a friend who has a stroked 408 LS with a single turbo, in a street driven 78 malibu. It makes 1200 at the crank. Pretty high bar to get over.
Would adding a TURBO to an LS be that cheap or an expensive endeavor?