Honestly, with how poorly many street oriented cars are set up to get good track times, I would have waaaaay overshot what I needed in terms of HP.
If the goal was to truly have shot at the 11’s, with a “street” car........ a 408 with some mild reworked RPM heads and a solid cam would have been a wiser path imo.
I’d have gone for 500ft/lbs and at least 450hp.
Can a 360 get you there? Obviously yes....... but not likely without giving up some(probably more like a lot) of that street friendly demeanor that you’re currently enjoying.
At this point, my recommendation is to go make some passes and/or a trip to the chassis dyno to see what you really have.