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The FinePix F660EXR would probably do a good job.

The HS20EXR is also tempting :)

I've used a Fuji Finepix F47fd for quite a while (currently on Ebay for as little as £5) lovely little camera. That should be all you need for web work.
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The specs on your camera show only "auto" for the white balance settings. As natural light will always have a variable colour cast this will cause problems. You are trying to hit a moving target :)

Hi Dave

A couple of ideas for you :)

http://www.youtube.com/watch?v=mNxBGXTbdXE

http://digital-photography-school.com/how-to-make-a-inexpensive-light-tent

I would go for daylight LED...