There is no substitute for some good light.

Noise happens when the electronics in our cameras are stressed, so unless you are pushing your exposure number very high its hard for you to create noise when you keep your ISO numbers low.


So, Will you get less noise with a higher ISO and a lower exposure time? 

NO,  when 'noise' is in question, you should always spend your ISO last. Our camera sensors are easier stressed when their sensitivity is increased(higher ISO) and the sensor will amplify the effects of noise.

Also, heat has a negative effect on the sensors.. so storing the camera in a cool place or allowing the sensor to cool down after heavy usage before trying to take that tricky shot in question here might help.. even if only by very little.