@BarnacleBill If it’s hillier than Southern NH then maybe a helicopter would be more appropriate!
Seriously though, if the car in any reasonable shape, I wouldn’t worry. If the hills are bad enough to give a loaded Corolla issues, then even a 4WD pickup might be a little dicey. Take it from someone who has driven Corollas with blown head gaskets, blown shocks, glazed front pads and rotors, and other ailments (usually only one at a time though) through mud bogs, up hills steep enough to make the front wheels start to lift, smacked the transmission pan on the pavement more times than I care to remember, ran it two quarts low on oil more than I should’ve (It leaked faster than I thought!), and (once) used it to haul a larger vehicle out of a ditch.
In short, if I could do all that with older, weaker Toyotas in questionable shape then @Nullo has nothing to fear.