Power limits for LA small blocks?

The car will get raced a few times a year and be driven around town for some fun most of the other time. The car was very high 12 second car when it thrashed the baring so I am hoping to get into the 11s. I know that can be done with a stock stroke 360 but like I said before, this is a time in my life where I can build the stroker so why not do it. My plan was to originally build a 500 hp small block with a procharger or nitrous but I am realizing it would be a more conservative idea to stick with all motor.
You do not need 500 hp in a A-body to run 11's.