Big Farms often have large stores of different fuels stored on property and many are even into bio fuel conversion, that's why they'd become targets of Raiders

And as for the Route the party will take and their method of travel I was hoping once we figure out who's going then we could have an actual interaction to make the decisions we need make.

Doc's Hospital I'd think would become the focal point of that group because she's openly for heading north
Karen is a small woman but I'd have to say that she's demonstrated a force of will that might surprise any who first meet her.
She's as expected from a medical professional Intelligent and decisive and while she's not a combat type she has made choices since coming to Homestead that few others would care to make.
(She likely has ended as humanly as she was able several who's injuries threatened to turn them before they turned)