Compact Flash Store

I'm going on vacation to NYC. I have a Canon SLR camera and I have a 4 GB CF Card. I'll be in the city for like 5 days. I'm pretty sure I'll fill up that card within a day considering I'm shooting high quality + RAW. Are there any options as to where/how to store my photos so that I can clear the card for more use? I don't own a laptop, and I really don't want to spend $200 just on CF cards to ensure I have enough space.
So I really just need a service or something that will burn them all to a DVD for me so I can clear room for more photos. Is there a device or service for that? Should I just buy more CF Cards? Or is the best solution to bring my external HDD and hope to find a computer to let me transfer my photos there?

The camera was working and all of a sudden it stop taking pictures. The camera is about 1 yrs. old, everything else seems to work ok.