While I haven't used either one of these lenses, one thing to ask yourself is how much tele do you need anyway. Both lenses have good reputations, but if you really need 500mm, then go for the Bigma. If constant aperture is important to you, then go for the 100-300.
Check out some sample images from pbase and decide for yourself what will work better for you:
Sigma 50-500mm f/4-6.3 EX DG/HSM Lens Sample Photos and Specifications Sigma 100-300mm f/4 APO EX DG HSM Lens Sample Photos and Specifications
Also, be sure to check out the 3rd party lens reviews on this site.
HTH,
Heather