As far as tires, I recently put a set of Cooper Zeon RS3S on my Mustang and am happy with them. Way better grip than anything else I've had on that car.
There's an all-weather version & a summer, the S is summer. I have a new pair in the 245/45R17 size because that's what I 1st put on the front, but changed to the 40-series for ft/rear OD similarity. I have them for sale in the Wheels & Tires section if you're interested.
Sounds like a cool & unique build: a Gen3 Hemi anything that can corner is not common.