Thanks Tom! That's very helpful!
I tried to get some more specifics on the current being drawn, but my multimeter kept telling me that the camera was only drawing 5.5mA. That seemed too low to me, so I looked at the camera's datasheet and it said the power consumption is 218mA at 12v.
The strange thing I just learned is that the camera still works if I disconnect it from ground at the power source. I've never seen that before. I wonder if it means there's a mistaken connection to ground somewhere, or if somehow that's normal behavior for CCTV cameras (like maybe they're connected to ground via the video connection?). I did find continuity between the power-supply ground and the center pin of the video cable.
When I go on the roof to open the camera (hopefully soon), I'll probably try to test the current draw from up there, if it's not too difficult.
Also I learned that the power source can supply 500mA (again I could swap that out if necessary). So if we assume that the datasheet is correct that the camera draws on average 218mA, could you guys please help me with the math again for choosing resistors? I was planning on researching how to do the math today, but I'd probably end up making mistakes anyway, so it would be great if I could get some input.