I'm just starting this thread as a place for Big Bang denialists to vent. It might belong in pseudo-science.
For me, I just have too hard a time believing that the universe could be finite in time or space. It's a sufficiently ludicrous proposition in my mind that I tend to require a very high standard of evidence in order to believe it. I don't have a good refutation for the evidence that supports it. I'm just in denial, and so I have to keep examining the evidence until I either convince myself or disprove it. So, the evidence as I understand it is:
1) - The Hubble Redshift - It is observed that light from distant galaxies is uniformly red shifted across every frequency of light, and by an amount directly proportional to its distance.
2) - The CMBR (Cosmic Microwave Background Radiation) - Low frequency light conforming to the pattern of a perfect black body (hot object radiating light due to its heat) is observed to be coming at us from every direction in space.
3) - Uniformity of the occurrence of elements throughout observable space.
#1 would require the most explanation.
#2 requires slightly less
I don't consider #3 to be very compelling at all, because it would be equally explainable by statistical theories. In any random process occurring on a large scale, we shouldn't expect any large area of space to deviate from the norm by a significant amount.
edit: just now noticing "big band denial" and Lol'ing like crazy.