Currently there is no way to exclude only a portion of a site, or to exclude archiving a site for a particular time period only.
When a URL has been excluded at direct owner request from being archived, that exclusion is retroactive and permanent.
I see you've covered the camera with electrical tape. Would you be interested in these other privacy related products?
Does anyone know how much this stuff currently costs? Everything I can find says call for quote, which probably isn't a good sign.