I would go with the alternator. When they go bad you don't notice it right away because the battery charge lasts for a while. During daytime driving a vehicle can go for quite a ways on battery power alone. Nightime is alot quicker due to the headlights. Headlight dimming and car dying are symptomatic of a dead alternator. When jumping you can start the rig but it won't run continuously because the battery is drained. Also the click can be attributed to not enough battery power left to turn over but enough to pop the solinoid. Usually there is a warning light for low charge but it is easily overlooked by many drivers..........
My money is on the Alternator.
Kurt