I usually used to take resources, because I would only be able to log in once or twice a day so they'd be very useful for assigning a lot of construction projects or training a lot of troops. Favour was usually maxed out anyway...
I've always used the rule of thumb, where I took the resources if my camps were below lvl20, the favour if they're over that line. Of course it depends on the amount of favour your god(s) have already accumulated.