Lots to consider. If you want to boondock for 2 weeks and not worry about it, then as Mike suggested a "3-way" (12V DC, 120V AC, Propane) powered absorption fridge is the way to go. Others will have to chime in on how much propane you would typically use in a week.
I have this freezer here:
http://www.bigfrogmountain.com/Engel%2045.htm 12V DC, 120V AC. It has a compressor like the fridge in your kitchen, but is designed from the get go to be super efficient.
Here is power consumption data vs. fridge temp vs. outside temp.
http://www.bigfrogmountain.com/images/MT45F%20curve.jpg It's a little hard to read. For example, at 35C ambient (95 F) and 5 C internal temp (41 F) this fridge will consume 1.14 amp-hour per hour, or a total of 27.3 amp-hours a day.
Here's some info regarding some cheap Harbor Freight solar cells I have:
http://tnttt.com/viewtopic.php?t=30521 Two of these kits should put out 5.5 amps at 14.4 volts in good sunlight.
So for my Engel fridge and 90 watts of Harbor Freight solar power, I figure I can boondock for an unlimited time as long as I get say 4-5 hours of good sunlight a day on average.
To go this route there's no cheap way to do it. I think all included you're looking at least $1000 including solar, fridge, batteries, charge controller, etc.) Hope this is not too confusing.
Eric