If you forward an example of a webpage (zip it all up preserving relative folders) to
support@kinook.com, we'll take a look and try to determine why it doesn't work as expected.
Proxomitron should work just fine with whatever connection you are using (including dialup).
Another "Off-line mode" request has been received, but for a slightly different purpose than you propose. See this
forum post to view the prior request.