Bump the ISO to 400 or even 800. It should solve the shutter speed problem.
Right, I do not want to have a lot of noise. Thanks.
If that's the camera in the images that you will be using it should not cause noise problems at ISO 400 or even 800. Noise will be most prominent in underexposed areas. If you are lowering your shutter speed to get proper exposure you are trading camera shake for noise and that's not a good trade off.