Big Block in a 67 Dart Convertible

Im thinkin bout puttin a 440 in my 67 Dart Convertible my biggest concern is twisting the body i know i need to tie the frame do you recommed doing anything else i dnt know if i want to put a cage in it i got a 67 440 with 915 heads a .509 cam and i was thinkin bout a tunnel ram its goin to stay a automatic but what do you guys think bout it twistin its prob goin to get mini tubbed & im goin to run drag radials or cheater slicks with a cal trac mono leaf setup with a stock front suspension with drag shocks im just worried bout it twisting i dnt want any buckles in my quarters n i want to be able to open my doors i dont know if i will ever take it to the track cuz you never know anything is possible so what do you guys think How much do i have to worry bout it twisting or would you even recommed doin it to a drop top?