What should my 360 run

The stick is always a wild card.

Take 420hp..... STP power from an engine dyno, and assuming it’s a street car.
Knock 10% off for corrections.
Take another 5% off for in car parasitic losses...... puts you at 360hp as it sits in the car........ assuming you’re not racing at an altitude factored track.

360hp@3500lbs...... should go about 110.

110mph could be a high 11...... but I’m thinking an 833 with not enough low gear, plus not enough rear gear, and probably not a “full on” launch....... more like a mid-12....... at a non-altitude adjusted track.

For comparison......
My 340 made STP 454hp the way it came out of my car.
68 B body, weighing about 3500lbs...... 5.13’s, slicks, 48-4900 stall.... went a best of 11.66@117.
60’s were soft....... not enough stall or gear.
“Shows” 432hp on the Moroso calculator.

So, sure..... 11’s are possible. It’ll really depend at least as much on the car as the motor.
I have the 309 first gear in my 4 speed.