Hi Palli, thanks again for working with me on this.
I believe I have found a resolution. I changed the "Enable 32 Bit" flag to False on the application pool and removed the 32-bit Handler Mapping, leaving only the 64-bit Handler Mapping. (If the "Enable 32 Bit" flag is set to true then the 64-bit Handler Mapping is ignored, which was the original problem we reported... I guess that makes sense.) Now the 64-bit assemblies in the bin folder don't cause an error.
This is actually how we have been deploying the website for several years now. We have about 6 versions of our site deployed to various test/QA environments with VWG 6.3.15 and they all have "Enable 32 Bit" set to false and a Handler Mapping of c:\Windows\Microsoft.NET\Framework64\v2.0.50727\aspnet_isapi.dll. This is what finally gave me the answer.
Thanks again,
Andrew