I would say DFT, there are two aspects.
in a big molecule like this, i expect there to be a lot of correlation energy, which is lengthty to compute using post Hartree-Fock methods, as you would need the use of additional methods.
and also as i understood DFT accuracy is more XC functional dependant than computer time, thus the accuracy will depend mostly on the choice of functional, while the computing time is generally low. So if the functional works reasonibly well for such a molecule then the computational time will be way lower for DFT than for post Hartree-Fock methods, where the computer time probably scales way worse with the size of the system than DFT.
So i can imagine that resourcewise Post hartree-fock methods will not get you close to the exact solution.
while DFT might.