I've cleared my mod folder and this mod pack is the only mod in the folder. When I start a new game, my player character is invisible. I've searched the mod forums, but can't pinpoint anything that would cause this.

I've fixed the problem by going into options and changing the sprite resolution setting from normal to low. It appears this might be a graphics issue from the sheer volume of "sprites?" included in the full mod pack.

Can anyone tell me which mods (if any) I can exclude to reduce the number of sprites and ease my graphics card a bit? I'm thinking of pulling ShinyBob out.

This is a very strange issue that I have no explanation for. I suggest that you report the issue on the forums and see if anything can be done about it. In terms of sprites I think ShinyBob many and removing it shouldn't have any gameplay effect.